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216898864 = 24713311479
BaseRepresentation
bin11001110110110…
…01110100110000
3120010010121022021
430323121310300
5421011230424
633304521224
75242416130
oct1473316460
9503117267
10216898864
11101485366
1260780214
1335c23030
1420b40ac0
15140964e4
hexced9d30

216898864 has 80 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 85351680.

The previous prime is 216898783. The next prime is 216898883. The reversal of 216898864 is 468898612.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 452577 + ... + 453055.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2216898864 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 216898864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

216898864 is an abundant number, since it is smaller than the sum of its proper divisors (303067856).

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

216898864 is a wasteful number, since it uses less digits than its factorization.

216898864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The square root of 216898864 is about 14727.4866830699. The cubic root of 216898864 is about 600.8311296557.

The spelling of 216898864 in words is "two hundred sixteen million, eight hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 311 364 479 622 728 958 1244 1456 1916 2177 2488 3353 3832 4043 4354 4976 6227 6706 7664 8086 8708 12454 13412 16172 17416 24908 26824 28301 32344 34832 43589 49816 53648 56602 64688 87178 99632 113204 148969 174356 226408 297938 348712 452816 595876 697424 1042783 1191752 1936597 2085566 2383504 3873194 4171132 7746388 8342264 13556179 15492776 16684528 27112358 30985552 54224716 108449432 216898864