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23143392 = 25321729163
BaseRepresentation
bin101100001001…
…0001111100000
31121112210202200
41120102033200
521411042032
62144013200
7400500306
oct130221740
947483680
1023143392
1112077a78
127901200
134a4411c
143106276
15207247c
hex16123e0

23143392 has 144 divisors (see below), whose sum is σ = 72530640. Its totient is φ = 6967296.

The previous prime is 23143381. The next prime is 23143397. The reversal of 23143392 is 29334132.

It is a happy number.

23143392 is a `hidden beast` number, since 231 + 43 + 392 = 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 not an unprimeable number, because it can be changed into a prime (23143397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141903 + ... + 142065.

It is an arithmetic number, because the mean of its divisors is an integer number (503685).

Almost surely, 223143392 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 23143392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265320).

23143392 is an abundant number, since it is smaller than the sum of its proper divisors (49387248).

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

23143392 is a wasteful number, since it uses less digits than its factorization.

23143392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 23143392 is about 4810.7579444408. The cubic root of 23143392 is about 284.9764708184.

The spelling of 23143392 in words is "twenty-three million, one hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 163 174 204 232 261 272 288 306 326 348 408 464 489 493 522 544 612 652 696 816 928 978 986 1044 1224 1304 1392 1467 1479 1632 1956 1972 2088 2448 2608 2771 2784 2934 2958 3912 3944 4176 4437 4727 4896 5216 5542 5868 5916 7824 7888 8313 8352 8874 9454 11084 11736 11832 14181 15648 15776 16626 17748 18908 22168 23472 23664 24939 28362 33252 35496 37816 42543 44336 46944 47328 49878 56724 66504 70992 75632 80359 85086 88672 99756 113448 133008 141984 151264 160718 170172 199512 226896 241077 266016 321436 340344 399024 453792 482154 642872 680688 723231 798048 964308 1285744 1361376 1446462 1928616 2571488 2892924 3857232 5785848 7714464 11571696 23143392