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133218426 = 231117373209
BaseRepresentation
bin1111111000011…
…00000001111010
3100021200012022210
413330030001322
5233100442201
621115155550
73205223625
oct774140172
9307605283
10133218426
116921aa80
1238745bb6
13217a4693
141399adbc
15ba671d6
hex7f0c07a

133218426 has 64 divisors (see below), whose sum is σ = 316172160. Its totient is φ = 36956160.

The previous prime is 133218419. The next prime is 133218427. The reversal of 133218426 is 624812331.

It is a junction number, because it is equal to n+sod(n) for n = 133218393 and 133218402.

It is not an unprimeable number, because it can be changed into a prime (133218427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39910 + ... + 43118.

It is an arithmetic number, because the mean of its divisors is an integer number (4940190).

Almost surely, 2133218426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133218426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158086080).

133218426 is an abundant number, since it is smaller than the sum of its proper divisors (182953734).

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

133218426 is a wasteful number, since it uses less digits than its factorization.

133218426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279.

The product of its digits is 6912, while the sum is 30.

The square root of 133218426 is about 11542.0286778365. The cubic root of 133218426 is about 510.7261551277.

The spelling of 133218426 in words is "one hundred thirty-three million, two hundred eighteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2442 3209 3774 6418 6919 9627 13838 19254 20757 35299 41514 54553 70598 105897 109106 118733 163659 211794 237466 327318 356199 600083 712398 1200166 1306063 1800249 2018461 2612126 3600498 3918189 4036922 6055383 7836378 12110766 22203071 44406142 66609213 133218426