233733040 has 40 divisors (see below), whose sum is σ = 562173840. Its totient is φ = 90268416.

The previous prime is 233733037. The next prime is 233733067. The reversal of 233733040 is 40337332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×233733040² = 109262267975283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233732996 and 233733014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48054 + ... + 52693.

It is an arithmetic number, because the mean of its divisors is an integer number (14054346).

Almost surely, 2^233733040 is an apocalyptic number.

233733040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233733040 is an abundant number, since it is smaller than the sum of its proper divisors (328440800).

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

233733040 is a wasteful number, since it uses less digits than its factorization.

233733040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100789 (or 100783 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 25.

The square root of 233733040 is about 15288.3301900502. The cubic root of 233733040 is about 615.9895849141.

The spelling of 233733040 in words is "two hundred thirty-three million, seven hundred thirty-three thousand, forty".