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132229992 = 23337314771
BaseRepresentation
bin1111110000110…
…10101101101000
3100012210222110010
413320122231220
5232322324432
621042051520
73163636116
oct770325550
9305728403
10132229992
1168705394
1238349ba0
13215197cb
14137c0ab6
15b91e3cc
hex7e1ab68

132229992 has 32 divisors (see below), whose sum is σ = 331483680. Its totient is φ = 43955520.

The previous prime is 132229991. The next prime is 132230011. The reversal of 132229992 is 299922231.

It is a super-3 number, since 3×1322299923 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132229992.

It is not an unprimeable number, because it can be changed into a prime (132229991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 16337.

It is an arithmetic number, because the mean of its divisors is an integer number (10358865).

Almost surely, 2132229992 is an apocalyptic number.

132229992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132229992 is an abundant number, since it is smaller than the sum of its proper divisors (199253688).

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

132229992 is a wasteful number, since it uses less digits than its factorization.

132229992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153 (or 15149 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 132229992 is about 11499.1300540519. The cubic root of 132229992 is about 509.4598818587.

The spelling of 132229992 in words is "one hundred thirty-two million, two hundred twenty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 373 746 1119 1492 2238 2984 4476 8952 14771 29542 44313 59084 88626 118168 177252 354504 5509583 11019166 16528749 22038332 33057498 44076664 66114996 132229992