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214915688 = 231319611783
BaseRepresentation
bin11001100111101…
…01101001101000
3112222101211220022
430303311221220
5420004300223
633154220012
75216516231
oct1463655150
9488354808
10214915688
11100350379
125bb84608
13356aa460
1420786088
1513d03ac8
hexccf5a68

214915688 has 64 divisors (see below), whose sum is σ = 464553600. Its totient is φ = 92378880.

The previous prime is 214915661. The next prime is 214915693. The reversal of 214915688 is 886519412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119645 + ... + 121427.

It is an arithmetic number, because the mean of its divisors is an integer number (7258650).

Almost surely, 2214915688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214915688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232276800).

214915688 is an abundant number, since it is smaller than the sum of its proper divisors (249637912).

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

214915688 is a wasteful number, since it uses less digits than its factorization.

214915688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its digits is 138240, while the sum is 44.

The square root of 214915688 is about 14660.0030013639. The cubic root of 214915688 is about 598.9943227045.

The spelling of 214915688 in words is "two hundred fourteen million, nine hundred fifteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 61 76 104 122 152 244 247 488 494 793 988 1159 1586 1783 1976 2318 3172 3566 4636 6344 7132 9272 14264 15067 23179 30134 33877 46358 60268 67754 92716 108763 120536 135508 185432 217526 271016 435052 440401 870104 880802 1413919 1761604 2066497 2827838 3523208 4132994 5655676 8265988 11311352 16531976 26864461 53728922 107457844 214915688