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232839520 = 2553721063
BaseRepresentation
bin11011110000011…
…01100101100000
3121020010110202221
431320031211200
5434101331040
635034320424
75525050264
oct1570154540
9536113687
10232839520
1110a482861
1265b89114
1339314884
1422cd00a4
151569474a
hexde0d960

232839520 has 72 divisors (see below), whose sum is σ = 565884144. Its totient is φ = 90533376.

The previous prime is 232839493. The next prime is 232839569. The reversal of 232839520 is 25938232.

232839520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218509 + ... + 219571.

It is an arithmetic number, because the mean of its divisors is an integer number (7859502).

Almost surely, 2232839520 is an apocalyptic number.

232839520 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 232839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282942072).

232839520 is an abundant number, since it is smaller than the sum of its proper divisors (333044624).

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

232839520 is a wasteful number, since it uses less digits than its factorization.

232839520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 232839520 is about 15259.0799198379. The cubic root of 232839520 is about 615.2036428745.

The spelling of 232839520 in words is "two hundred thirty-two million, eight hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1063 1184 1369 1480 2126 2738 2960 4252 5315 5476 5920 6845 8504 10630 10952 13690 17008 21260 21904 27380 34016 39331 42520 43808 54760 78662 85040 109520 157324 170080 196655 219040 314648 393310 629296 786620 1258592 1455247 1573240 2910494 3146480 5820988 6292960 7276235 11641976 14552470 23283952 29104940 46567904 58209880 116419760 232839520