232153020 has 384 divisors, whose sum is σ = 885427200. Its totient is φ = 50181120.

The previous prime is 232152989. The next prime is 232153021. The reversal of 232153020 is 20351232.

232153020 = T₂₂₉ + T₂₃₀ + ... + T₁₁₁₉.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232152984 and 232153002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232153021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12218571 + ... + 12218589.

It is an arithmetic number, because the mean of its divisors is an integer number (2305800).

Almost surely, 2^232153020 is an apocalyptic number.

232153020 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 232153020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600).

232153020 is an abundant number, since it is smaller than the sum of its proper divisors (653274180).

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

232153020 is a wasteful number, since it uses less digits than its factorization.

232153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 232153020 is about 15236.5685113151. The cubic root of 232153020 is about 614.5984291022.

The spelling of 232153020 in words is "two hundred thirty-two million, one hundred fifty-three thousand, twenty".