234224640 has 528 divisors, whose sum is σ = 965659968. Its totient is φ = 51904512.

The previous prime is 234224633. The next prime is 234224671. The reversal of 234224640 is 46422432.

It is a super-2 number, since 2×234224640² = 109722363966259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183669 + ... + 10183691.

Almost surely, 2^234224640 is an apocalyptic number.

234224640 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 234224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482829984).

234224640 is an abundant number, since it is smaller than the sum of its proper divisors (731435328).

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

234224640 is a wasteful number, since it uses less digits than its factorization.

234224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 234224640 is about 15304.3993675021. The cubic root of 234224640 is about 616.4211433919.

The spelling of 234224640 in words is "two hundred thirty-four million, two hundred twenty-four thousand, six hundred forty".