88226820900 has 81 divisors (see below), whose sum is σ = 276570002163. Its totient is φ = 23524776000.

The previous prime is 88226820893. The next prime is 88226820937. The reversal of 88226820900 is 902862288.

The square root of 88226820900 is 297030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16153901604 + 72072919296 = 127098^2 + 268464^2 .

It is a super-2 number, since 2×88226820900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8905950 + ... + 8915850.

Almost surely, 2^88226820900 is an apocalyptic number.

88226820900 is the 297030-th square number.

It is an amenable number.

88226820900 is an abundant number, since it is smaller than the sum of its proper divisors (188343181263).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88226820900 is an equidigital number, since it uses as much as digits as its factorization.

88226820900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19822 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 88226820900 in words is "eighty-eight billion, two hundred twenty-six million, eight hundred twenty thousand, nine hundred".