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23288688 = 2433313747
BaseRepresentation
bin101100011010…
…1101101110000
31121211012002000
41120311231300
521430214223
62151054000
7401644023
oct130655560
947735060
1023288688
1112167155
127971300
134a952b7
1431431ba
1520a0543
hex1635b70

23288688 has 160 divisors (see below), whose sum is σ = 72376320. Its totient is φ = 7153920.

The previous prime is 23288687. The next prime is 23288701. The reversal of 23288688 is 88688232.

It is a super-2 number, since 2×232886882 = 1084725977522688, which contains 22 as substring.

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 (23288687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495481 + ... + 495527.

It is an arithmetic number, because the mean of its divisors is an integer number (452352).

Almost surely, 223288688 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 23288688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36188160).

23288688 is an abundant number, since it is smaller than the sum of its proper divisors (49087632).

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

23288688 is a wasteful number, since it uses less digits than its factorization.

23288688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 23288688 is about 4825.8354717085. The cubic root of 23288688 is about 285.5715952260.

The spelling of 23288688 in words is "twenty-three million, two hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 47 48 54 62 72 74 93 94 108 111 124 141 144 148 186 188 216 222 248 279 282 296 333 372 376 423 432 444 496 558 564 592 666 744 752 837 846 888 999 1116 1128 1147 1269 1332 1457 1488 1674 1692 1739 1776 1998 2232 2256 2294 2538 2664 2914 3348 3384 3441 3478 3996 4371 4464 4588 5076 5217 5328 5828 6696 6768 6882 6956 7992 8742 9176 10152 10323 10434 11656 13113 13392 13764 13912 15651 15984 17484 18352 20304 20646 20868 23312 26226 27528 27824 30969 31302 34968 39339 41292 41736 46953 52452 53909 55056 61938 62604 69936 78678 82584 83472 93906 104904 107818 123876 125208 157356 161727 165168 187812 209808 215636 247752 250416 314712 323454 375624 431272 485181 495504 629424 646908 751248 862544 970362 1293816 1455543 1940724 2587632 2911086 3881448 5822172 7762896 11644344 23288688