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23114624 = 271329479
BaseRepresentation
bin101100000101…
…1001110000000
31121111100022012
41120023032000
521404131444
62143232052
7400320401
oct130131600
947440265
1023114624
11120583a5
1278a8628
134a33cc0
1430d99a8
152068b9e
hex160b380

23114624 has 64 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 10278912.

The previous prime is 23114617. The next prime is 23114681. The reversal of 23114624 is 42641132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×231146242 = 1068571685322752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23114624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48017 + ... + 48495.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 223114624 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 23114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

23114624 is an abundant number, since it is smaller than the sum of its proper divisors (28293376).

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

23114624 is a wasteful number, since it uses less digits than its factorization.

23114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 23114624 is about 4807.7670492652. The cubic root of 23114624 is about 284.8583434736.

Adding to 23114624 its reverse (42641132), we get a palindrome (65755756).

The spelling of 23114624 in words is "twenty-three million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 479 754 832 928 958 1508 1664 1856 1916 3016 3712 3832 6032 6227 7664 12064 12454 13891 15328 24128 24908 27782 30656 48256 49816 55564 61312 99632 111128 180583 199264 222256 361166 398528 444512 722332 797056 889024 1444664 1778048 2889328 5778656 11557312 23114624