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232063056 = 2435173511
BaseRepresentation
bin11011101010100…
…00000001010000
3121011200000200000
431311100001100
5433402004211
635005530000
75515334451
oct1565200120
9534600600
10232063056
11109aa2455
1265873900
1339102324
1422b6b128
151558e656
hexdd50050

232063056 has 120 divisors (see below), whose sum is σ = 713329344. Its totient is φ = 72783360.

The previous prime is 232063049. The next prime is 232063057. The reversal of 232063056 is 650360232.

232063056 is a `hidden beast` number, since 2 + 3 + 20 + 630 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232063057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64341 + ... + 67851.

Almost surely, 2232063056 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 232063056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356664672).

232063056 is an abundant number, since it is smaller than the sum of its proper divisors (481266288).

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

232063056 is a wasteful number, since it uses less digits than its factorization.

232063056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 232063056 is about 15233.6159857074. The cubic root of 232063056 is about 614.5190290628.

It can be divided in two parts, 23206 and 3056, that added together give a palindrome (26262).

The spelling of 232063056 in words is "two hundred thirty-two million, sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1836 1944 2448 2754 3511 3672 3888 4131 5508 7022 7344 8262 10533 11016 14044 16524 21066 22032 28088 31599 33048 42132 56176 59687 63198 66096 84264 94797 119374 126396 168528 179061 189594 238748 252792 284391 358122 379188 477496 505584 537183 568782 716244 758376 853173 954992 1074366 1137564 1432488 1516752 1611549 1706346 2148732 2275128 2864976 3223098 3412692 4297464 4550256 4834647 6446196 6825384 8594928 9669294 12892392 13650768 14503941 19338588 25784784 29007882 38677176 58015764 77354352 116031528 232063056