232233222332232 has 288 divisors, whose sum is σ = 701738654329440. Its totient is φ = 69315599232000.

The previous prime is 232233222332213. The next prime is 232233222332269.

232233222332232 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 3 + 322 + 2 + 3 + 322 + 3 + 2 = 666.

232233222332232 is nontrivially palindromic in base 10.

232233222332232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232233222332232² (a number of 30 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 7238497263 + ... + 7238529345.

It is an arithmetic number, because the mean of its divisors is an integer number (2436592549755).

Almost surely, 2^{232233222332232} is an apocalyptic number.

232233222332232 is a gapful number since it is divisible by the number (22) 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 232233222332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350869327164720).

232233222332232 is an abundant number, since it is smaller than the sum of its proper divisors (469505431997208).

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

232233222332232 is a wasteful number, since it uses less digits than its factorization.

232233222332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44585 (or 44567 counting only the distinct ones).

The product of its digits is 373248, while the sum is 36.

The spelling of 232233222332232 in words is "two hundred thirty-two trillion, two hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-two thousand, two hundred thirty-two".