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232140243680 = 2553799139569
BaseRepresentation
bin1101100000110010100…
…0110000001011100000
3211012012020211020020222
43120030220300023200
512300410400244210
6254351015022212
722525436341232
oct3301450601340
9735166736228
10232140243680
118a4a512aa64
1238ba736a968
1318b76c22847
14b342890252
156089e14655
hex360ca302e0

232140243680 has 96 divisors (see below), whose sum is σ = 563836412160. Its totient is φ = 90253025280.

The previous prime is 232140243677. The next prime is 232140243707. The reversal of 232140243680 is 86342041232.

It is a self number, because there is not a number n which added to its sum of digits gives 232140243680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5846936 + ... + 5886504.

It is an arithmetic number, because the mean of its divisors is an integer number (5873295960).

Almost surely, 2232140243680 is an apocalyptic number.

232140243680 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 232140243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281918206080).

232140243680 is an abundant number, since it is smaller than the sum of its proper divisors (331696168480).

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

232140243680 is a wasteful number, since it uses less digits than its factorization.

232140243680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40612 (or 40604 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 232140243680 in words is "two hundred thirty-two billion, one hundred forty million, two hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 991 1184 1480 1982 2960 3964 4955 5920 7928 9910 15856 19820 31712 36667 39569 39640 73334 79138 79280 146668 158276 158560 183335 197845 293336 316552 366670 395690 586672 633104 733340 791380 1173344 1266208 1464053 1466680 1582760 2928106 2933360 3165520 5856212 5866720 6331040 7320265 11712424 14640530 23424848 29281060 39212879 46849696 58562120 78425758 117124240 156851516 196064395 234248480 313703032 392128790 627406064 784257580 1254812128 1450876523 1568515160 2901753046 3137030320 5803506092 6274060640 7254382615 11607012184 14508765230 23214024368 29017530460 46428048736 58035060920 116070121840 232140243680