Wednesday, July 22, 2020

Number of the day: 7222020

Happy Casual π Day!

Properties of the number 7222020:

7222020 = 22 × 3 × 5 × 13 × 47 × 197 is the 6731306th composite number and is not squarefree.
7222020 has 6 distinct prime factors, 96 divisors, 35 antidivisors and 1731072 totatives.
7222020 has an emirpimes digit sum 15 in base 10.
7222020 has a triangular digit sum 15 in base 10.
7222020 is the difference of 2 nonnegative squares in 16 ways.
7222020 is the sum of 2 positive triangular numbers.
7222020 is the difference of 2 positive pentagonal numbers in 7 ways.
7222020 = 2962 + 3502 + 26482 is the sum of 3 positive squares.
72220202 = 51030722 + 51104042 = 43332122 + 57776162 = 34680362 + 63348482 = 27545762 + 66760682 = 17777282 + 69998042 = 7647842 + 71814122 = 45136922 + 56377442 = 36665642 + 62220482 = 27449882 + 66800162 = 36970202 + 62040002 = 27777002 + 66664802 = 18019802 + 69936002 = 10264802 + 71487002 is the sum of 2 positive squares in 13 ways.
72220202 is the sum of 3 positive squares.
7222020 is a proper divisor of 178712 - 1.

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