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214676664 = 23323237457
BaseRepresentation
bin11001100101110…
…11010010111000
3112221221201000120
430302323102320
5414424123124
633145133240
75214502326
oct1462732270
9487851016
10214676664
111001a7834
125ba8a220
1335625717
1420722d16
1513ca7d79
hexccbb4b8

214676664 has 96 divisors (see below), whose sum is σ = 577464720. Its totient is φ = 66451968.

The previous prime is 214676653. The next prime is 214676681. The reversal of 214676664 is 466676412.

It is a happy number.

It is a congruent number.

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, 469524 + ... + 469980.

Almost surely, 2214676664 is an apocalyptic number.

214676664 is a gapful number since it is divisible by the number (24) 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 214676664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288732360).

214676664 is an abundant number, since it is smaller than the sum of its proper divisors (362788056).

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

214676664 is a wasteful number, since it uses less digits than its factorization.

214676664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 522 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 214676664 is about 14651.8484840651. The cubic root of 214676664 is about 598.7721780248.

The spelling of 214676664 in words is "two hundred fourteen million, six hundred seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 457 529 552 851 888 914 1058 1371 1587 1702 1828 2116 2553 2742 3174 3404 3656 4232 5106 5484 6348 6808 10212 10511 10968 12696 16909 19573 20424 21022 31533 33818 39146 42044 50727 58719 63066 67636 78292 84088 101454 117438 126132 135272 156584 202908 234876 241753 252264 388907 405816 469752 483506 725259 777814 967012 1166721 1450518 1555628 1934024 2333442 2901036 3111256 4666884 5802072 8944861 9333768 17889722 26834583 35779444 53669166 71558888 107338332 214676664