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232373232 = 243371323257
BaseRepresentation
bin11011101100110…
…11101111110000
3121012020210011000
431312123233300
5433441420412
635020322000
75521065660
oct1566335760
9535223130
10232373232
1110a1944a3
12659a3300
13391b0570
1422c0c1a0
15156014dc
hexdd9bbf0

232373232 has 320 divisors, whose sum is σ = 859944960. Its totient is φ = 58392576.

The previous prime is 232373213. The next prime is 232373243.

232373232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 232373196 and 232373205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904048 + ... + 904304.

It is an arithmetic number, because the mean of its divisors is an integer number (2687328).

Almost surely, 2232373232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232373232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429972480).

232373232 is an abundant number, since it is smaller than the sum of its proper divisors (627571728).

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

232373232 is a wasteful number, since it uses less digits than its factorization.

232373232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its digits is 9072, while the sum is 27.

The square root of 232373232 is about 15243.7932287210. The cubic root of 232373232 is about 614.7926963407.

The spelling of 232373232 in words is "two hundred thirty-two million, three hundred seventy-three thousand, two hundred thirty-two".