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133212884 = 22717674177
BaseRepresentation
bin1111111000010…
…10101011010100
3100021122220201112
413330022223110
5233100303014
621115114152
73205201520
oct774125324
9307586645
10133212884
11692168a2
1238742958
13217a1cbc
1413998d80
15ba6573e
hex7f0aad4

133212884 has 48 divisors (see below), whose sum is σ = 286376832. Its totient is φ = 52918272.

The previous prime is 133212853. The next prime is 133212929. The reversal of 133212884 is 488212331.

It is a self number, because there is not a number n which added to its sum of digits gives 133212884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29804 + ... + 33980.

It is an arithmetic number, because the mean of its divisors is an integer number (5966184).

Almost surely, 2133212884 is an apocalyptic number.

133212884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143188416).

133212884 is an abundant number, since it is smaller than the sum of its proper divisors (153163948).

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

133212884 is a wasteful number, since it uses less digits than its factorization.

133212884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4270 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 133212884 is about 11541.7885962272. The cubic root of 133212884 is about 510.7190728151.

The spelling of 133212884 in words is "one hundred thirty-three million, two hundred twelve thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 938 1139 1876 2278 4177 4556 7973 8354 15946 16708 29239 31892 58478 71009 116956 142018 279859 284036 497063 559718 994126 1119436 1959013 1988252 3918026 4757603 7836052 9515206 19030412 33303221 66606442 133212884