233140400 has 30 divisors (see below), whose sum is σ = 560120772. Its totient is φ = 93256000.

The previous prime is 233140381. The next prime is 233140423. The reversal of 233140400 is 4041332.

233140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233140400² = 108708892224320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291026 + ... + 291825.

Almost surely, 2^233140400 is an apocalyptic number.

233140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233140400 is an abundant number, since it is smaller than the sum of its proper divisors (326980372).

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

233140400 is a wasteful number, since it uses less digits than its factorization.

233140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582869 (or 582858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 233140400 is about 15268.9357847887. The cubic root of 233140400 is about 615.4685217321.

Adding to 233140400 its reverse (4041332), we get a palindrome (237181732).

The spelling of 233140400 in words is "two hundred thirty-three million, one hundred forty thousand, four hundred".