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23006256 = 24371323229
BaseRepresentation
bin101011111000…
…0110000110000
31121021211122120
41113300300300
521342200011
62141034240
7366356430
oct127606060
947254576
1023006256
1111a93a39
127855980
1349c6890
1430ac2c0
152046a06
hex15f0c30

23006256 has 160 divisors (see below), whose sum is σ = 76661760. Its totient is φ = 5778432.

The previous prime is 23006239. The next prime is 23006257. The reversal of 23006256 is 65260032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23006257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100350 + ... + 100578.

It is an arithmetic number, because the mean of its divisors is an integer number (479136).

Almost surely, 223006256 is an apocalyptic number.

23006256 is a gapful number since it is divisible by the number (26) 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 23006256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330880).

23006256 is an abundant number, since it is smaller than the sum of its proper divisors (53655504).

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

23006256 is a wasteful number, since it uses less digits than its factorization.

23006256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 23006256 is about 4796.4837120541. The cubic root of 23006256 is about 284.4124800417.

Adding to 23006256 its reverse (65260032), we get a palindrome (88266288).

The spelling of 23006256 in words is "twenty-three million, six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 229 273 276 299 312 322 336 364 368 458 483 546 552 598 624 644 687 728 897 916 966 1092 1104 1196 1288 1374 1456 1603 1794 1832 1932 2093 2184 2392 2576 2748 2977 3206 3588 3664 3864 4186 4368 4784 4809 5267 5496 5954 6279 6412 7176 7728 8372 8931 9618 10534 10992 11908 12558 12824 14352 15801 16744 17862 19236 20839 21068 23816 25116 25648 31602 33488 35724 36869 38472 41678 42136 47632 50232 62517 63204 68471 71448 73738 76944 83356 84272 100464 110607 125034 126408 136942 142896 147476 166712 205413 221214 250068 252816 273884 294952 333424 410826 442428 479297 500136 547768 589904 821652 884856 958594 1000272 1095536 1437891 1643304 1769712 1917188 2875782 3286608 3834376 5751564 7668752 11503128 23006256