233890272 has 288 divisors, whose sum is σ = 849139200. Its totient is φ = 59304960.

The previous prime is 233890271. The next prime is 233890277. The reversal of 233890272 is 272098332.

233890272 is a `hidden beast` number, since 2 + 3 + 389 + 0 + 272 = 666.

233890272 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233890271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175229 + ... + 1175427.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^233890272 is an apocalyptic number.

233890272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233890272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

233890272 is an abundant number, since it is smaller than the sum of its proper divisors (615248928).

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

233890272 is a wasteful number, since it uses less digits than its factorization.

233890272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 233890272 is about 15293.4715483438. The cubic root of 233890272 is about 616.1276791616.

The spelling of 233890272 in words is "two hundred thirty-three million, eight hundred ninety thousand, two hundred seventy-two".