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90312152225 = 5210135767189
BaseRepresentation
bin101010000011100000…
…1100001010010100001
322122010000020200110212
41110013001201102201
52434424402332400
6105253330503505
76345006425231
oct1240701412241
9278100220425
1090312152225
1135334945739
1215605434b95
1386936b6439
14452a555cc1
15253898b335
hex15070614a1

90312152225 has 12 divisors (see below), whose sum is σ = 113095854780. Its totient is φ = 71534376000.

The previous prime is 90312152221. The next prime is 90312152317. The reversal of 90312152225 is 52225121309.

It can be written as a sum of positive squares in 6 ways, for example, as 20809793536 + 69502358689 = 144256^2 + 263633^2 .

It is not a de Polignac number, because 90312152225 - 22 = 90312152221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90312152191 and 90312152200.

It is not an unprimeable number, because it can be changed into a prime (90312152221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17881070 + ... + 17886119.

It is an arithmetic number, because the mean of its divisors is an integer number (9424654565).

Almost surely, 290312152225 is an apocalyptic number.

It is an amenable number.

90312152225 is a deficient number, since it is larger than the sum of its proper divisors (22783702555).

90312152225 is a wasteful number, since it uses less digits than its factorization.

90312152225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35767300 (or 35767295 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 90312152225 in words is "ninety billion, three hundred twelve million, one hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 101 505 2525 35767189 178835945 894179725 3612486089 18062430445 90312152225