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133219032 = 23319292147
BaseRepresentation
bin1111111000011…
…00001011011000
3100021200020011020
413330030023120
5233101002112
621115202440
73205225452
oct774141330
9307606136
10133219032
1169220481
1238746420
13217a4a3b
141399b2d2
15ba6748c
hex7f0c2d8

133219032 has 32 divisors (see below), whose sum is σ = 350577600. Its totient is φ = 42069024.

The previous prime is 133219019. The next prime is 133219049. The reversal of 133219032 is 230912331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 133218993 and 133219011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145618 + ... + 146529.

It is an arithmetic number, because the mean of its divisors is an integer number (10955550).

Almost surely, 2133219032 is an apocalyptic number.

133219032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133219032 is an abundant number, since it is smaller than the sum of its proper divisors (217358568).

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

133219032 is a wasteful number, since it uses less digits than its factorization.

133219032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292175 (or 292171 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 133219032 is about 11542.0549296908. The cubic root of 133219032 is about 510.7269295441.

The spelling of 133219032 in words is "one hundred thirty-three million, two hundred nineteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 292147 584294 876441 1168588 1752882 2337176 3505764 5550793 7011528 11101586 16652379 22203172 33304758 44406344 66609516 133219032