Search a number
-
+
232375992 = 233172324763
BaseRepresentation
bin11011101100111…
…00011010111000
3121012020220221020
431312130122320
5433442012432
635020342440
75521110012
oct1566343270
9535226836
10232375992
1110a196582
12659a4a20
13391b18b4
1422c0d1b2
151560222c
hexdd9c6b8

232375992 has 64 divisors (see below), whose sum is σ = 641882880. Its totient is φ = 69729792.

The previous prime is 232375973. The next prime is 232376003. The reversal of 232375992 is 299573232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2998 + ... + 21765.

It is an arithmetic number, because the mean of its divisors is an integer number (10029420).

Almost surely, 2232375992 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 232375992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320941440).

232375992 is an abundant number, since it is smaller than the sum of its proper divisors (409506888).

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

232375992 is a wasteful number, since it uses less digits than its factorization.

232375992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24812 (or 24808 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 232375992 is about 15243.8837571007. The cubic root of 232375992 is about 614.7951303863.

The spelling of 232375992 in words is "two hundred thirty-two million, three hundred seventy-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 24763 49526 74289 99052 148578 198104 297156 420971 569549 594312 841942 1139098 1262913 1683884 1708647 2278196 2525826 3367768 3417294 4556392 5051652 6834588 9682333 10103304 13669176 19364666 29046999 38729332 58093998 77458664 116187996 232375992