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23388216 = 23343131173
BaseRepresentation
bin101100100111…
…0000000111000
31122000020121020
41121032000320
521441410331
62153142440
7402540135
oct131160070
948006536
1023388216
1112224a05
1279baa20
134acb6a7
14316b58c
1520bec96
hex164e038

23388216 has 64 divisors (see below), whose sum is σ = 60635520. Its totient is φ = 7512960.

The previous prime is 23388203. The next prime is 23388223. The reversal of 23388216 is 61288332.

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, 135106 + ... + 135278.

It is an arithmetic number, because the mean of its divisors is an integer number (947430).

Almost surely, 223388216 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 23388216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30317760).

23388216 is an abundant number, since it is smaller than the sum of its proper divisors (37247304).

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

23388216 is a wasteful number, since it uses less digits than its factorization.

23388216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

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

The square root of 23388216 is about 4836.1364745011. The cubic root of 23388216 is about 285.9778293082.

The spelling of 23388216 in words is "twenty-three million, three hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 131 172 173 258 262 344 346 393 516 519 524 692 786 1032 1038 1048 1384 1572 2076 3144 4152 5633 7439 11266 14878 16899 22317 22532 22663 29756 33798 44634 45064 45326 59512 67596 67989 89268 90652 135192 135978 178536 181304 271956 543912 974509 1949018 2923527 3898036 5847054 7796072 11694108 23388216