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112466025 = 3252721012
BaseRepresentation
bin1101011010000…
…01100001101001
321211121212101100
412231001201221
5212242403100
615054312013
72533642200
oct655014151
9254555340
10112466025
1158536431
12317b8609
131a3b9959
1410d18237
159d18400
hex6b41869

112466025 has 81 divisors (see below), whose sum is σ = 236670213. Its totient is φ = 50904000.

The previous prime is 112466023. The next prime is 112466041. The reversal of 112466025 is 520664211.

The square root of 112466025 is 10605.

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

112466025 is a `hidden beast` number, since 1 + 12 + 46 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20766249 + 91699776 = 4557^2 + 9576^2 .

It is not a de Polignac number, because 112466025 - 21 = 112466023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112466025.

It is not an unprimeable number, because it can be changed into a prime (112466023) 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, 1113475 + ... + 1113575.

Almost surely, 2112466025 is an apocalyptic number.

112466025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112466025 is the 10605-th square number.

112466025 is the 5303-rd centered octagonal number.

It is an amenable number.

112466025 is an abundant number, since it is smaller than the sum of its proper divisors (124204188).

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

112466025 is a wasteful number, since it uses less digits than its factorization.

112466025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 112466025 is about 482.6960911109.

It can be divided in two parts, 11246 and 6025, that added together give a palindrome (17271).

The spelling of 112466025 in words is "one hundred twelve million, four hundred sixty-six thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 101 105 147 175 225 245 303 315 441 505 525 707 735 909 1225 1515 1575 2121 2205 2525 3535 3675 4545 4949 6363 7575 10201 10605 11025 14847 17675 22725 24745 30603 31815 44541 51005 53025 71407 74235 91809 123725 153015 159075 214221 222705 255025 357035 371175 459045 499849 642663 765075 1071105 1113525 1499547 1785175 2295225 2499245 3213315 4498641 5355525 7497735 12496225 16066575 22493205 37488675 112466025