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133166268 = 2234411007
BaseRepresentation
bin1111110111111…
…11010010111100
3100021120112210000
413323333102330
5233042310033
621114114300
73204615564
oct773772274
9307515700
10133166268
1169194874
123871b990
1321786a11
1413985da4
15ba56a13
hex7eff4bc

133166268 has 30 divisors (see below), whose sum is σ = 348123776. Its totient is φ = 44388648.

The previous prime is 133166261. The next prime is 133166323. The reversal of 133166268 is 862661331.

133166268 is a `hidden beast` number, since 1 + 331 + 66 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133166261) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 205180 + ... + 205827.

Almost surely, 2133166268 is an apocalyptic number.

133166268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133166268 is an abundant number, since it is smaller than the sum of its proper divisors (214957508).

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

133166268 is a wasteful number, since it uses less digits than its factorization.

133166268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411023 (or 411012 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 133166268 is about 11539.7689751572. The cubic root of 133166268 is about 510.6594928476.

The spelling of 133166268 in words is "one hundred thirty-three million, one hundred sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 411007 822014 1233021 1644028 2466042 3699063 4932084 7398126 11097189 14796252 22194378 33291567 44388756 66583134 133166268