232138368 has 192 divisors, whose sum is σ = 833152320. Its totient is φ = 60272640.

The previous prime is 232138343. The next prime is 232138373. The reversal of 232138368 is 863831232.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87396 + ... + 90012.

It is an arithmetic number, because the mean of its divisors is an integer number (4339335).

Almost surely, 2^232138368 is an apocalyptic number.

232138368 is a gapful number since it is divisible by the number (28) 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 232138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416576160).

232138368 is an abundant number, since it is smaller than the sum of its proper divisors (601013952).

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

232138368 is a wasteful number, since it uses less digits than its factorization.

232138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2640 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 232138368 is about 15236.0876868046. The cubic root of 232138368 is about 614.5854990017.

The spelling of 232138368 in words is "two hundred thirty-two million, one hundred thirty-eight thousand, three hundred sixty-eight".