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132218394 = 23711226017
BaseRepresentation
bin1111110000101…
…11111000011010
3100012210101112120
413320113320122
5232321442034
621041522110
73163560240
oct770277032
9305711476
10132218394
11686a7700
1238343336
1321514449
14137ba790
15b91ac49
hex7e17e1a

132218394 has 48 divisors (see below), whose sum is σ = 332197824. Its totient is φ = 34341120.

The previous prime is 132218389. The next prime is 132218483. The reversal of 132218394 is 493812231.

It is a super-3 number, since 3×1322183943 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7927 + ... + 18090.

It is an arithmetic number, because the mean of its divisors is an integer number (6920788).

Almost surely, 2132218394 is an apocalyptic number.

132218394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132218394 is an abundant number, since it is smaller than the sum of its proper divisors (199979430).

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

132218394 is a wasteful number, since it uses less digits than its factorization.

132218394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26051 (or 26040 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 132218394 is about 11498.6257439748. The cubic root of 132218394 is about 509.4449863765. Note that the first 3 decimals are identical.

The spelling of 132218394 in words is "one hundred thirty-two million, two hundred eighteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 26017 52034 78051 156102 182119 286187 364238 546357 572374 858561 1092714 1717122 2003309 3148057 4006618 6009927 6296114 9444171 12019854 18888342 22036399 44072798 66109197 132218394