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133362225 = 32523971493
BaseRepresentation
bin1111111001011…
…11001000110001
3100021221111120200
413330233020301
5233120042400
621122225413
73206363103
oct774571061
9307844520
10133362225
1169309017
12387b5269
1321824c79
14139d7573
15ba94b00
hex7f2f231

133362225 has 36 divisors (see below), whose sum is σ = 239628636. Its totient is φ = 70899840.

The previous prime is 133362209. The next prime is 133362233. The reversal of 133362225 is 522263331.

133362225 is a `hidden beast` number, since 1 + 3 + 33 + 622 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3196944 + 130165281 = 1788^2 + 11409^2 .

It is not a de Polignac number, because 133362225 - 24 = 133362209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88579 + ... + 90071.

It is an arithmetic number, because the mean of its divisors is an integer number (6656351).

Almost surely, 2133362225 is an apocalyptic number.

133362225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133362225 is a deficient number, since it is larger than the sum of its proper divisors (106266411).

133362225 is a wasteful number, since it uses less digits than its factorization.

133362225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1898 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 133362225 is about 11548.2563618929. The cubic root of 133362225 is about 510.9098521919.

The spelling of 133362225 in words is "one hundred thirty-three million, three hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 397 1191 1493 1985 3573 4479 5955 7465 9925 13437 17865 22395 29775 37325 67185 89325 111975 335925 592721 1778163 2963605 5334489 8890815 14818025 26672445 44454075 133362225