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232255082332 = 227132831673541
BaseRepresentation
bin1101100001001101111…
…0110100111101011100
3211012111020220122021101
43120103132310331130
512301124300113312
6254410240242444
722531332424630
oct3302336647534
9735436818241
10232255082332
118a553a36a39
1239019910424
1318b94960400
14b353c24dc0
15609504aa57
hex36137b4f5c

232255082332 has 144 divisors (see below), whose sum is σ = 512243246592. Its totient is φ = 90205090560.

The previous prime is 232255082291. The next prime is 232255082341. The reversal of 232255082332 is 233280552232.

It is a junction number, because it is equal to n+sod(n) for n = 232255082291 and 232255082300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65588482 + ... + 65592022.

It is an arithmetic number, because the mean of its divisors is an integer number (3557244768).

Almost surely, 2232255082332 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 232255082332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256121623296).

232255082332 is an abundant number, since it is smaller than the sum of its proper divisors (279988164260).

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

232255082332 is a wasteful number, since it uses less digits than its factorization.

232255082332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 232255082332 in words is "two hundred thirty-two billion, two hundred fifty-five million, eighty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 83 91 166 167 169 182 332 334 338 364 581 668 676 1079 1162 1169 1183 2158 2171 2324 2338 2366 3541 4316 4342 4676 4732 7082 7553 8684 13861 14027 14164 15106 15197 24787 27722 28054 28223 30212 30394 46033 49574 55444 56108 56446 60788 92066 97027 98189 99148 112892 180193 184132 194054 196378 197561 293903 322231 360386 388108 392756 395122 587806 591347 598429 644462 720772 790244 1175612 1182694 1196858 1261351 1288924 2057321 2342509 2365388 2393716 2522702 3820739 4114642 4139429 4189003 4685018 5045404 7641478 7687511 8229284 8278858 8378006 9370036 15282956 15375022 16397563 16557716 16756012 26745173 30750044 32795126 49081801 49669607 53490346 53812577 65590252 98163602 99339214 99937643 106980692 107625154 196327204 198678428 199875286 215250308 343572607 347687249 399750572 638063413 687145214 695374498 699563501 1276126826 1374290428 1390748996 1399127002 2552253652 2798254004 4466443891 8294824369 8932887782 16589648738 17865775564 33179297476 58063770583 116127541166 232255082332