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230414635332 = 223273129494961
BaseRepresentation
bin1101011010010111001…
…0000101000101000100
3211000201222210020121200
43112211302011011010
512233342121312312
6253503453142500
722434614041140
oct3264562050504
9730658706550
10230414635332
118979a066962
12387a548aa30
131896057b20b
14b21b620220
155ed86a30dc
hex35a5c85144

230414635332 has 72 divisors (see below), whose sum is σ = 687114634752. Its totient is φ = 63709113600.

The previous prime is 230414635327. The next prime is 230414635393. The reversal of 230414635332 is 233536414032.

230414635332 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 14 + 635 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14739669 + ... + 14755292.

It is an arithmetic number, because the mean of its divisors is an integer number (9543258816).

Almost surely, 2230414635332 is an apocalyptic number.

It is an amenable number.

230414635332 is an abundant number, since it is smaller than the sum of its proper divisors (456699999420).

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

230414635332 is a wasteful number, since it uses less digits than its factorization.

230414635332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29495009 (or 29495004 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 230414635332 in words is "two hundred thirty billion, four hundred fourteen million, six hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 29494961 58989922 88484883 117979844 176969766 206464727 265454649 353939532 412929454 530909298 619394181 825858908 914343791 1061818596 1238788362 1828687582 1858182543 2477576724 2743031373 3657375164 3716365086 5486062746 6400406537 7432730172 8229094119 10972125492 12800813074 16458188238 19201219611 25601626148 32916376476 38402439222 57603658833 76804878444 115207317666 230414635332