233197630272 has 672 divisors, whose sum is σ = 755265139200. Its totient is φ = 68495486976.

The previous prime is 233197630243. The next prime is 233197630273. The reversal of 233197630272 is 272036791332.

233197630272 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 9 + 7 + 630 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×233197630272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233197630273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1027302223 + ... + 1027302449.

Almost surely, 2^233197630272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233197630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377632569600).

233197630272 is an abundant number, since it is smaller than the sum of its proper divisors (522067508928).

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

233197630272 is a wasteful number, since it uses less digits than its factorization.

233197630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 233197630272 in words is "two hundred thirty-three billion, one hundred ninety-seven million, six hundred thirty thousand, two hundred seventy-two".