233172900 has 81 divisors (see below), whose sum is σ = 732306211. Its totient is φ = 62057280.

The previous prime is 233172887. The next prime is 233172911. The reversal of 233172900 is 9271332.

The square root of 233172900 is 15270.

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 8892324 + 224280576 = 2982^2 + 14976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 457846 + ... + 458354.

Almost surely, 2^233172900 is an apocalyptic number.

233172900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233172900 is the 15270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233172900

233172900 is an abundant number, since it is smaller than the sum of its proper divisors (499133311).

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

233172900 is a wasteful number, since it uses less digits than its factorization.

233172900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The cubic root of 233172900 is about 615.4971193748.

The spelling of 233172900 in words is "two hundred thirty-three million, one hundred seventy-two thousand, nine hundred".