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23123232 = 253411811
BaseRepresentation
bin101100000110…
…1010100100000
31121111210010000
41120031110200
521404420412
62143340000
7400354446
oct130152440
947453100
1023123232
1112063910
1278b1600
134a37bb2
1430dcb96
15206b4dc
hex160d520

23123232 has 120 divisors (see below), whose sum is σ = 74278512. Its totient is φ = 6998400.

The previous prime is 23123231. The next prime is 23123239. The reversal of 23123232 is 23232132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (23123231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28107 + ... + 28917.

Almost surely, 223123232 is an apocalyptic number.

23123232 is a gapful number since it is divisible by the number (22) 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 23123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37139256).

23123232 is an abundant number, since it is smaller than the sum of its proper divisors (51155280).

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

23123232 is a wasteful number, since it uses less digits than its factorization.

23123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 827 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 23123232 is about 4808.6621840175. The cubic root of 23123232 is about 284.8936999691.

Adding to 23123232 its reverse (23232132), we get a palindrome (46355364).

Subtracting 23123232 from its reverse (23232132), we obtain a square (108900 = 3302).

It can be divided in two parts, 2312323 and 2, that added together give a triangular number (2312325 = T2150).

The spelling of 23123232 in words is "twenty-three million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 811 864 891 1056 1188 1296 1584 1622 1782 2376 2433 2592 3168 3244 3564 4752 4866 6488 7128 7299 8921 9504 9732 12976 14256 14598 17842 19464 21897 25952 26763 28512 29196 35684 38928 43794 53526 58392 65691 71368 77856 80289 87588 107052 116784 131382 142736 160578 175176 214104 233568 240867 262764 285472 321156 350352 428208 481734 525528 642312 700704 722601 856416 963468 1051056 1284624 1445202 1926936 2102112 2569248 2890404 3853872 5780808 7707744 11561616 23123232