233261880 has 64 divisors (see below), whose sum is σ = 707680800. Its totient is φ = 61501440.

The previous prime is 233261867. The next prime is 233261921. The reversal of 233261880 is 88162332.

It is a super-2 number, since 2×233261880² = 108822209322268800, which contains 22 as substring.

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, 241 + ... + 21600.

Almost surely, 2^233261880 is an apocalyptic number.

233261880 is a gapful number since it is divisible by the number (20) 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 233261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353840400).

233261880 is an abundant number, since it is smaller than the sum of its proper divisors (474418920).

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

233261880 is a wasteful number, since it uses less digits than its factorization.

233261880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21944 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 233261880 is about 15272.9132780881. The cubic root of 233261880 is about 615.5754017262.

The spelling of 233261880 in words is "two hundred thirty-three million, two hundred sixty-one thousand, eight hundred eighty".