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36144225 = 3452131373
BaseRepresentation
bin1000100111100…
…0010001100001
32112000022120000
42021320101201
533223103400
63330410213
7616135515
oct211702141
975008500
1036144225
1119447767
1210130969
137646820
144b2c145
15328e600
hex2278461

36144225 has 60 divisors (see below), whose sum is σ = 72154236. Its totient is φ = 17781120.

The previous prime is 36144221. The next prime is 36144239. The reversal of 36144225 is 52244163.

36144225 is a `hidden beast` number, since 3 + 614 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 81 + 36144144 = 9^2 + 6012^2 .

It is not a de Polignac number, because 36144225 - 22 = 36144221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36144221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25639 + ... + 27011.

Almost surely, 236144225 is an apocalyptic number.

It is an amenable number.

36144225 is a deficient number, since it is larger than the sum of its proper divisors (36010011).

36144225 is a wasteful number, since it uses less digits than its factorization.

36144225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1394 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 36144225 is about 6012.0067365232. The cubic root of 36144225 is about 330.6330822195.

Adding to 36144225 its reverse (52244163), we get a palindrome (88388388).

The spelling of 36144225 in words is "thirty-six million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 325 351 405 585 675 975 1053 1373 1755 2025 2925 4119 5265 6865 8775 12357 17849 20595 26325 34325 37071 53547 61785 89245 102975 111213 160641 185355 267735 308925 446225 481923 556065 803205 926775 1338675 1445769 2409615 2780325 4016025 7228845 12048075 36144225