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232212434302230 = 235113479290349261
BaseRepresentation
bin110100110011001000101011…
…101010001011010100010110
31010110012021212210210100112020
4310303020223222023110112
5220414032031140132410
62141512530350034010
766624536411212104
oct6463105352132426
91113167783710466
10232212434302230
1167a98816441718
12220643aa4a8906
139c757003a7a35
14414b1db0d2c74
151bca5a1c27a70
hexd3322ba8b516

232212434302230 has 128 divisors (see below), whose sum is σ = 563621092024320. Its totient is φ = 61224848885760.

The previous prime is 232212434302187. The next prime is 232212434302283. The reversal of 232212434302230 is 32203434212232.

It is a super-2 number, since 2×2322124343022302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232212434302191 and 232212434302200.

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 63 ways as a sum of consecutive naturals, for example, 4713895800 + ... + 4713945060.

It is an arithmetic number, because the mean of its divisors is an integer number (4403289781440).

Almost surely, 2232212434302230 is an apocalyptic number.

232212434302230 is an abundant number, since it is smaller than the sum of its proper divisors (331408657722090).

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

232212434302230 is a wasteful number, since it uses less digits than its factorization.

232212434302230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52766.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 232212434302230 its reverse (32203434212232), we get a palindrome (264415868514462).

The spelling of 232212434302230 in words is "two hundred thirty-two trillion, two hundred twelve billion, four hundred thirty-four million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 479 565 678 958 1130 1437 1695 2395 2874 2903 3390 4790 5806 7185 8709 14370 14515 17418 29030 43545 49261 54127 87090 98522 108254 147783 162381 246305 270635 295566 324762 328039 492610 541270 656078 738915 811905 984117 1390537 1477830 1623810 1640195 1968234 2781074 3280390 4171611 4920585 5566493 6952685 8343222 9841170 11132986 13905370 16699479 20858055 23596019 27832465 33398958 41716110 47192038 55664930 70788057 83497395 117980095 141576114 143004683 157130681 166994790 235960190 286009366 314261362 353940285 429014049 471392043 707880570 715023415 785653405 858028098 942784086 1430046830 1571306810 2145070245 2356960215 2666350147 4290140490 4713920430 5332700294 7999050441 13331750735 15998100882 16159529179 26663501470 32319058358 39995252205 48478587537 68499243157 79990504410 80797645895 96957175074 136998486314 161595291790 205497729471 242392937685 342496215785 410995458942 484785875370 684992431570 1027488647355 2054977294710 7740414476741 15480828953482 23221243430223 38702072383705 46442486860446 77404144767410 116106217151115 232212434302230