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133219008 = 26321317791
BaseRepresentation
bin1111111000011…
…00001011000000
3100021200020010100
413330030023000
5233101002013
621115202400
73205225416
oct774141300
9307606110
10133219008
116922045a
1238746400
13217a4a20
141399b2b6
15ba67473
hex7f0c2c0

133219008 has 84 divisors (see below), whose sum is σ = 411244288. Its totient is φ = 40988160.

The previous prime is 133219007. The next prime is 133219019. The reversal of 133219008 is 800912331.

It is not an unprimeable number, because it can be changed into a prime (133219007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408 + ... + 16383.

Almost surely, 2133219008 is an apocalyptic number.

133219008 is a gapful number since it is divisible by the number (18) 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 133219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205622144).

133219008 is an abundant number, since it is smaller than the sum of its proper divisors (278025280).

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

133219008 is a wasteful number, since it uses less digits than its factorization.

133219008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17822 (or 17809 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 133219008 is about 11542.0538900145. The cubic root of 133219008 is about 510.7268988742.

The spelling of 133219008 in words is "one hundred thirty-three million, two hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 17791 35582 53373 71164 106746 142328 160119 213492 231283 284656 320238 426984 462566 569312 640476 693849 853968 925132 1138624 1280952 1387698 1707936 1850264 2081547 2561904 2775396 3415872 3700528 4163094 5123808 5550792 7401056 8326188 10247616 11101584 14802112 16652376 22203168 33304752 44406336 66609504 133219008