232149120 has 256 divisors, whose sum is σ = 883630080. Its totient is φ = 50688000.

The previous prime is 232149119. The next prime is 232149133. The reversal of 232149120 is 21941232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308745 + ... + 309495.

It is an arithmetic number, because the mean of its divisors is an integer number (3451680).

Almost surely, 2^232149120 is an apocalyptic number.

232149120 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 232149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441815040).

232149120 is an abundant number, since it is smaller than the sum of its proper divisors (651480960).

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

232149120 is a wasteful number, since it uses less digits than its factorization.

232149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 232149120 is about 15236.4405292050. The cubic root of 232149120 is about 614.5949874824.

The spelling of 232149120 in words is "two hundred thirty-two million, one hundred forty-nine thousand, one hundred twenty".