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23226336 = 2532741281
BaseRepresentation
bin101100010011…
…0011111100000
31121201000112200
41120212133200
521421220321
62145453200
7401264160
oct130463740
947630480
1023226336
1112124321
127941200
134a72ac3
1431285a0
15208bd26
hex16267e0

23226336 has 144 divisors (see below), whose sum is σ = 77601888. Its totient is φ = 6451200.

The previous prime is 23226323. The next prime is 23226439. The reversal of 23226336 is 63362232.

23226336 is a `hidden beast` number, since 2 + 3 + 22 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 82516 + ... + 82796.

It is an arithmetic number, because the mean of its divisors is an integer number (538902).

Almost surely, 223226336 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 23226336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38800944).

23226336 is an abundant number, since it is smaller than the sum of its proper divisors (54375552).

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

23226336 is a wasteful number, since it uses less digits than its factorization.

23226336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 23226336 is about 4819.3709133039. The cubic root of 23226336 is about 285.3165089409.

Adding to 23226336 its reverse (63362232), we get a palindrome (86588568).

The spelling of 23226336 in words is "twenty-three million, two hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 281 287 288 328 336 369 492 504 562 574 656 672 738 843 861 984 1008 1124 1148 1312 1476 1686 1722 1967 1968 2016 2248 2296 2529 2583 2952 3372 3444 3934 3936 4496 4592 5058 5166 5901 5904 6744 6888 7868 8992 9184 10116 10332 11521 11802 11808 13488 13776 15736 17703 20232 20664 23042 23604 26976 27552 31472 34563 35406 40464 41328 46084 47208 62944 69126 70812 80647 80928 82656 92168 94416 103689 138252 141624 161294 184336 188832 207378 241941 276504 283248 322588 368672 414756 483882 553008 566496 645176 725823 829512 967764 1106016 1290352 1451646 1659024 1935528 2580704 2903292 3318048 3871056 5806584 7742112 11613168 23226336