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14332164 = 22371115511
BaseRepresentation
bin110110101011…
…000100000100
3222222011000220
4312223010010
512132112124
61231104340
7232551510
oct66530404
928864026
1014332164
1180a9a70
1249720b0
132c7a692
141c91140
1513d1879
hexdab104

14332164 has 48 divisors (see below), whose sum is σ = 41696256. Its totient is φ = 3722400.

The previous prime is 14332127. The next prime is 14332169. The reversal of 14332164 is 46123341.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14332169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6832 + ... + 8679.

It is an arithmetic number, because the mean of its divisors is an integer number (868672).

Almost surely, 214332164 is an apocalyptic number.

14332164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14332164 is an abundant number, since it is smaller than the sum of its proper divisors (27364092).

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

14332164 is a wasteful number, since it uses less digits than its factorization.

14332164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15534 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 14332164 is about 3785.7844629614. The cubic root of 14332164 is about 242.9054484896.

The spelling of 14332164 in words is "fourteen million, three hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 15511 31022 46533 62044 93066 108577 170621 186132 217154 325731 341242 434308 511863 651462 682484 1023726 1194347 1302924 2047452 2388694 3583041 4777388 7166082 14332164