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216094464 = 2832711321
BaseRepresentation
bin11001110000101…
…01011100000000
3120001121201212200
430320111130000
5420310010324
633235353200
75232526005
oct1470253400
9501551780
10216094464
11100a85a73
1260452800
1335a00b61
14209b18ac
1513e87ec9
hexce15700

216094464 has 108 divisors (see below), whose sum is σ = 632307312. Its totient is φ = 70963200.

The previous prime is 216094451. The next prime is 216094471. The reversal of 216094464 is 464490612.

216094464 is a `hidden beast` number, since 2 + 1 + 609 + 4 + 46 + 4 = 666.

216094464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162924 + ... + 164244.

Almost surely, 2216094464 is an apocalyptic number.

216094464 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 216094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316153656).

216094464 is an abundant number, since it is smaller than the sum of its proper divisors (416212848).

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

216094464 is a wasteful number, since it uses less digits than its factorization.

216094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 216094464 is about 14700.1518359505. The cubic root of 216094464 is about 600.0874539191.

The spelling of 216094464 in words is "two hundred sixteen million, ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 568 576 639 768 852 1136 1152 1278 1321 1704 2272 2304 2556 2642 3408 3963 4544 5112 5284 6816 7926 9088 10224 10568 11889 13632 15852 18176 20448 21136 23778 27264 31704 40896 42272 47556 54528 63408 81792 84544 93791 95112 126816 163584 169088 187582 190224 253632 281373 338176 375164 380448 507264 562746 750328 760896 844119 1014528 1125492 1500656 1521792 1688238 2250984 3001312 3043584 3376476 4501968 6002624 6752952 9003936 12005248 13505904 18007872 24010496 27011808 36015744 54023616 72031488 108047232 216094464