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216571264 = 2771318593
BaseRepresentation
bin11001110100010…
…01110110000000
3120002111221220221
430322021312000
5420420240024
633253512424
75236553050
oct1472116600
9502457827
10216571264
11101281218
1260642714
1335b39ba0
1420a97560
151402e3e4
hexce89d80

216571264 has 64 divisors (see below), whose sum is σ = 531044640. Its totient is φ = 85671936.

The previous prime is 216571259. The next prime is 216571339. The reversal of 216571264 is 462175612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2165712642 = 93806224781115392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2352 + ... + 20944.

Almost surely, 2216571264 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 216571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265522320).

216571264 is an abundant number, since it is smaller than the sum of its proper divisors (314473376).

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

216571264 is a wasteful number, since it uses less digits than its factorization.

216571264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18627 (or 18615 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 216571264 is about 14716.3604196146. The cubic root of 216571264 is about 600.5284825219.

The spelling of 216571264 in words is "two hundred sixteen million, five hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 18593 37186 74372 130151 148744 241709 260302 297488 483418 520604 594976 966836 1041208 1189952 1691963 1933672 2082416 2379904 3383926 3867344 4164832 6767852 7734688 8329664 13535704 15469376 16659328 27071408 30938752 54142816 108285632 216571264