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216542625 = 35313431033
BaseRepresentation
bin11001110100000…
…10110110100001
3120002110111122020
430322002312201
5420413331000
633253132053
75236403415
oct1472026641
9502414566
10216542625
11101261752
126062a029
1335b29b40
1420a8ad45
1514025ba0
hexce82da1

216542625 has 64 divisors (see below), whose sum is σ = 397453056. Its totient is φ = 104025600.

The previous prime is 216542609. The next prime is 216542633. The reversal of 216542625 is 526245612.

It is not a de Polignac number, because 216542625 - 24 = 216542609 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 209109 + ... + 210141.

It is an arithmetic number, because the mean of its divisors is an integer number (6210204).

Almost surely, 2216542625 is an apocalyptic number.

216542625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216542625 is a deficient number, since it is larger than the sum of its proper divisors (180910431).

216542625 is a wasteful number, since it uses less digits than its factorization.

216542625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 216542625 is about 14715.3873547386. The cubic root of 216542625 is about 600.5020104143.

The spelling of 216542625 in words is "two hundred sixteen million, five hundred forty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 43 65 75 125 129 195 215 325 375 559 645 975 1033 1075 1625 1677 2795 3099 3225 4875 5165 5375 8385 13429 13975 15495 16125 25825 40287 41925 44419 67145 69875 77475 129125 133257 201435 209625 222095 335725 387375 577447 666285 1007175 1110475 1678625 1732341 2887235 3331425 5035875 5552375 8661705 14436175 16657125 43308525 72180875 216542625