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232320300211332 = 223223311902186729
BaseRepresentation
bin110100110100101101001000…
…111101111101110010000100
31010110120121022011112021112200
4310310231020331331302010
5220422313433323230312
62142034250022514500
766635405420261154
oct6464551075756204
91113517264467480
10232320300211332
116802a538989743
1222081292595a30
139c8293070ba58
144152510ab4764
151bcd2b67c20dc
hexd34b48f7dc84

232320300211332 has 72 divisors (see below), whose sum is σ = 614757255315840. Its totient is φ = 73834961819520.

The previous prime is 232320300211303. The next prime is 232320300211333. The reversal of 232320300211332 is 233112003023232.

232320300211332 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 2 + 0 + 300 + 21 + 1 + 332 = 666.

It is a super-2 number, since 2×2323203002113322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232320300211296 and 232320300211305.

It is not an unprimeable number, because it can be changed into a prime (232320300211333) 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, 450835857 + ... + 451350872.

It is an arithmetic number, because the mean of its divisors is an integer number (8538295212720).

Almost surely, 2232320300211332 is an apocalyptic number.

It is an amenable number.

232320300211332 is an abundant number, since it is smaller than the sum of its proper divisors (382436955104508).

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

232320300211332 is a wasteful number, since it uses less digits than its factorization.

232320300211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902187073 (or 902187068 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232320300211332 its reverse (233112003023232), we get a palindrome (465432303234564).

The spelling of 232320300211332 in words is "two hundred thirty-two trillion, three hundred twenty billion, three hundred million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 311 414 622 828 933 1244 1866 2799 3732 5598 7153 11196 14306 21459 28612 42918 64377 85836 128754 257508 902186729 1804373458 2706560187 3608746916 5413120374 8119680561 10826240748 16239361122 20750294767 32478722244 41500589534 62250884301 83001179068 124501768602 186752652903 249003537204 280580072719 373505305806 561160145438 747010611612 841740218157 1122320290876 1683480436314 2525220654471 3366960872628 5050441308942 6453341672537 10100882617884 12906683345074 19360025017611 25813366690148 38720050035222 58080075052833 77440100070444 116160150105666 232320300211332