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232485622272 = 293271032
BaseRepresentation
bin1101100010000100111…
…0010001001000000000
3211020002022201021121200
43120201032101020000
512302112304403042
6254445153421200
722540132120011
oct3304116211000
9736068637550
10232485622272
118a662089012
1239082b6a800
1318c0064b387
14b3766b7008
1560aa3d8c4c
hex3621391200

232485622272 has 90 divisors (see below), whose sum is σ = 671063723187. Its totient is φ = 77484297216.

The previous prime is 232485622217. The next prime is 232485622337. The reversal of 232485622272 is 272226584232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

232485622272 is a `hidden beast` number, since 2 + 324 + 8 + 56 + 2 + 2 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116242811136 + 116242811136 = 340944^2 + 340944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=340944.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32727073 + ... + 32734175.

Almost surely, 2232485622272 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 232485622272

232485622272 is an abundant number, since it is smaller than the sum of its proper divisors (438578100915).

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

232485622272 is an frugal number, since it uses more digits than its factorization.

232485622272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14230 (or 7108 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 232485622272 in words is "two hundred thirty-two billion, four hundred eighty-five million, six hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 7103 14206 21309 28412 42618 56824 63927 85236 113648 127854 170472 227296 255708 340944 454592 511416 681888 909184 1022832 1363776 1818368 2045664 2727552 3636736 4091328 5455104 8182656 10910208 16365312 32730624 50452609 100905218 151357827 201810436 302715654 403620872 454073481 605431308 807241744 908146962 1210862616 1614483488 1816293924 2421725232 3228966976 3632587848 4843450464 6457933952 7265175696 9686900928 12915867904 14530351392 19373801856 25831735808 29060702784 38747603712 58121405568 77495207424 116242811136 232485622272