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229481379696 = 243172943225523
BaseRepresentation
bin1101010110111000100…
…1111111011101110000
3210221022221200221120010
43111232021333131300
512224434213122241
6253231114214520
722402522354212
oct3255611773560
9727287627503
10229481379696
1189360290108
1238584a24440
131884210ca4a
14b16d6c85b2
155e817a7d16
hex356e27f770

229481379696 has 160 divisors (see below), whose sum is σ = 664447829760. Its totient is φ = 67894751232.

The previous prime is 229481379671. The next prime is 229481379703. The reversal of 229481379696 is 696973184922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904791 + ... + 1130313.

It is an arithmetic number, because the mean of its divisors is an integer number (4152798936).

Almost surely, 2229481379696 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 229481379696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332223914880).

229481379696 is an abundant number, since it is smaller than the sum of its proper divisors (434966450064).

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

229481379696 is a wasteful number, since it uses less digits than its factorization.

229481379696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225623 (or 225617 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The spelling of 229481379696 in words is "two hundred twenty-nine billion, four hundred eighty-one million, three hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 43 48 51 58 68 86 87 102 116 129 136 172 174 204 232 258 272 344 348 408 464 493 516 688 696 731 816 986 1032 1247 1392 1462 1479 1972 2064 2193 2494 2924 2958 3741 3944 4386 4988 5848 5916 7482 7888 8772 9976 11696 11832 14964 17544 19952 21199 23664 29928 35088 42398 59856 63597 84796 127194 169592 225523 254388 339184 451046 508776 676569 902092 1017552 1353138 1804184 2706276 3608368 3833891 5412552 6540167 7667782 9697489 10825104 11501673 13080334 15335564 19394978 19620501 23003346 26160668 29092467 30671128 38789956 39241002 46006692 52321336 58184934 61342256 77579912 78482004 92013384 104642672 111182839 116369868 155159824 156964008 164857313 184026768 222365678 232739736 281227181 313928016 329714626 333548517 444731356 465479472 494571939 562454362 659429252 667097034 843681543 889462712 989143878 1124908724 1318858504 1334194068 1687363086 1778925424 1978287756 2249817448 2637717008 2668388136 3374726172 3956575512 4499634896 4780862077 5336776272 6749452344 7913151024 9561724154 13498904688 14342586231 19123448308 28685172462 38246896616 57370344924 76493793232 114740689848 229481379696