233151072 has 96 divisors (see below), whose sum is σ = 763064064. Its totient is φ = 60556800.

The previous prime is 233151059. The next prime is 233151101. The reversal of 233151072 is 270151332.

233151072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8379 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (7948584).

Almost surely, 2^233151072 is an apocalyptic number.

233151072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233151072 is an abundant number, since it is smaller than the sum of its proper divisors (529912992).

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

233151072 is a wasteful number, since it uses less digits than its factorization.

233151072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31572 (or 31564 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 233151072 is about 15269.2852484980. The cubic root of 233151072 is about 615.4779126111.

The spelling of 233151072 in words is "two hundred thirty-three million, one hundred fifty-one thousand, seventy-two".