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216304824 = 23328331847
BaseRepresentation
bin11001110010010…
…00110010111000
3120002000102102210
430321020302320
5420333223244
633244055120
75234363211
oct1471106270
9502012383
10216304824
1110110a01a
12605344a0
1335a75828
1420a28408
1513eca4b9
hexce48cb8

216304824 has 32 divisors (see below), whose sum is σ = 542689920. Its totient is φ = 71844576.

The previous prime is 216304817. The next prime is 216304861. The reversal of 216304824 is 428403612.

It is a junction number, because it is equal to n+sod(n) for n = 216304791 and 216304800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9132 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (16959060).

Almost surely, 2216304824 is an apocalyptic number.

216304824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216304824 is an abundant number, since it is smaller than the sum of its proper divisors (326385096).

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

216304824 is a wasteful number, since it uses less digits than its factorization.

216304824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32139 (or 32135 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 216304824 is about 14707.3051236452. The cubic root of 216304824 is about 600.2821117786.

The spelling of 216304824 in words is "two hundred sixteen million, three hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 283 566 849 1132 1698 2264 3396 6792 31847 63694 95541 127388 191082 254776 382164 764328 9012701 18025402 27038103 36050804 54076206 72101608 108152412 216304824