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116964225 = 3252721032
BaseRepresentation
bin1101111100010…
…11101110000001
322011002101202100
412332023232001
5214420323400
615334541013
72620115400
oct676135601
9264071670
10116964225
1160028a54
1233207769
131b303201
1411769637
15a406100
hex6f8bb81

116964225 has 81 divisors (see below), whose sum is σ = 246088323. Its totient is φ = 52950240.

The previous prime is 116964187. The next prime is 116964227. The reversal of 116964225 is 522469611.

The square root of 116964225 is 10815.

It is a perfect power (a square), and thus also a powerful number.

116964225 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42107121 + 74857104 = 6489^2 + 8652^2 .

It is not a de Polignac number, because 116964225 - 211 = 116962177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 116964225.

It is not an unprimeable number, because it can be changed into a prime (116964227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1135524 + ... + 1135626.

Almost surely, 2116964225 is an apocalyptic number.

116964225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116964225 is the 10815-th square number.

116964225 is the 5408-th centered octagonal number.

It is an amenable number.

116964225 is an abundant number, since it is smaller than the sum of its proper divisors (129124098).

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

116964225 is a wasteful number, since it uses less digits than its factorization.

116964225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 116964225 is about 489.0474692649.

Multiplying 116964225 by its sum of digits (36), we get a square (4210712100 = 648902).

It can be divided in two parts, 116964 and 225, that multiplied together give a square (26316900 = 51302).

The spelling of 116964225 in words is "one hundred sixteen million, nine hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 103 105 147 175 225 245 309 315 441 515 525 721 735 927 1225 1545 1575 2163 2205 2575 3605 3675 4635 5047 6489 7725 10609 10815 11025 15141 18025 23175 25235 31827 32445 45423 53045 54075 74263 75705 95481 126175 159135 162225 222789 227115 265225 371315 378525 477405 519841 668367 795675 1113945 1135575 1559523 1856575 2387025 2599205 3341835 4678569 5569725 7797615 12996025 16709175 23392845 38988075 116964225