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23382816 = 2532937227
BaseRepresentation
bin101100100110…
…0101100100000
31121222222012020
41121030230200
521441222231
62153101440
7402515322
oct131145440
947888166
1023382816
1112220946
1279b7880
134ac90b2
143169612
1520bd396
hex164cb20

23382816 has 96 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 7289856.

The previous prime is 23382791. The next prime is 23382823. The reversal of 23382816 is 61828332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102895 + ... + 103121.

It is an arithmetic number, because the mean of its divisors is an integer number (682290).

Almost surely, 223382816 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 23382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).

23382816 is an abundant number, since it is smaller than the sum of its proper divisors (42117024).

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

23382816 is a wasteful number, since it uses less digits than its factorization.

23382816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 23382816 is about 4835.5781453721. The cubic root of 23382816 is about 285.9558182358.

The spelling of 23382816 in words is "twenty-three million, three hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 74 87 96 111 116 148 174 222 227 232 296 348 444 454 464 592 681 696 888 908 928 1073 1184 1362 1392 1776 1816 2146 2724 2784 3219 3552 3632 4292 5448 6438 6583 7264 8399 8584 10896 12876 13166 16798 17168 19749 21792 25197 25752 26332 33596 34336 39498 50394 51504 52664 67192 78996 100788 103008 105328 134384 157992 201576 210656 243571 268768 315984 403152 487142 631968 730713 806304 974284 1461426 1948568 2922852 3897136 5845704 7794272 11691408 23382816