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23204664 = 23337103149
BaseRepresentation
bin101100010000…
…1001100111000
31121122220211000
41120201030320
521420022124
62145205000
7401144040
oct130411470
947586730
1023204664
111210a00a
127930760
134a65c92
143120720
1520856c9
hex1621338

23204664 has 128 divisors (see below), whose sum is σ = 74880000. Its totient is φ = 6521472.

The previous prime is 23204653. The next prime is 23204689. The reversal of 23204664 is 46640232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155662 + ... + 155810.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 223204664 is an apocalyptic number.

23204664 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 23204664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440000).

23204664 is an abundant number, since it is smaller than the sum of its proper divisors (51675336).

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

23204664 is a wasteful number, since it uses less digits than its factorization.

23204664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23204664 is about 4817.1219623339. The cubic root of 23204664 is about 285.2277404043.

Adding to 23204664 its reverse (46640232), we get a palindrome (69844896).

The spelling of 23204664 in words is "twenty-three million, two hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 103 108 126 149 168 189 206 216 252 298 309 378 412 447 504 596 618 721 756 824 894 927 1043 1192 1236 1341 1442 1512 1788 1854 2086 2163 2472 2682 2781 2884 3129 3576 3708 4023 4172 4326 5364 5562 5768 6258 6489 7416 8046 8344 8652 9387 10728 11124 12516 12978 15347 16092 17304 18774 19467 22248 25032 25956 28161 30694 32184 37548 38934 46041 51912 56322 61388 75096 77868 92082 107429 112644 122776 138123 155736 184164 214858 225288 276246 322287 368328 414369 429716 552492 644574 828738 859432 966861 1104984 1289148 1657476 1933722 2578296 2900583 3314952 3867444 5801166 7734888 11602332 23204664