233395272100 has 27 divisors (see below), whose sum is σ = 506478224161. Its totient is φ = 93356176400.

The previous prime is 233395272079. The next prime is 233395272119. The reversal of 233395272100 is 1272593332.

The square root of 233395272100 is 483110.

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

It can be written as a sum of positive squares in only one way, i.e., 84022297956 + 149372974144 = 289866^2 + 386488^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233395272100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4806945 + ... + 4855255.

Almost surely, 2^233395272100 is an apocalyptic number.

233395272100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233395272100 is the 483110-th square number.

It is an amenable number.

233395272100 is an abundant number, since it is smaller than the sum of its proper divisors (273082952061).

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

233395272100 is an frugal number, since it uses more digits than its factorization.

233395272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96636 (or 48318 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 233395272100 in words is "two hundred thirty-three billion, three hundred ninety-five million, two hundred seventy-two thousand, one hundred".