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216464512 = 2711153739
BaseRepresentation
bin11001110011011…
…11110010000000
3120002022112111011
430321233302000
5420403331022
633251330304
75235626605
oct1471576200
9502275434
10216464512
11101208aa0
12605b0994
1335b00414
1420a6a6ac
151400c977
hexce6fc80

216464512 has 32 divisors (see below), whose sum is σ = 470444400. Its totient is φ = 98392320.

The previous prime is 216464509. The next prime is 216464527. The reversal of 216464512 is 215464612.

It is a happy number.

216464512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75462 + ... + 78277.

Almost surely, 2216464512 is an apocalyptic number.

216464512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216464512 is an abundant number, since it is smaller than the sum of its proper divisors (253979888).

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

216464512 is a wasteful number, since it uses less digits than its factorization.

216464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153764 (or 153752 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 216464512 is about 14712.7329888094. The cubic root of 216464512 is about 600.4297957562.

The spelling of 216464512 in words is "two hundred sixteen million, four hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 153739 307478 614956 1229912 1691129 2459824 3382258 4919648 6764516 9839296 13529032 19678592 27058064 54116128 108232256 216464512