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23008224 = 253613929
BaseRepresentation
bin101011111000…
…1001111100000
31121021221100110
41113301033200
521342230344
62141051320
7366365241
oct127611740
947257313
1023008224
1111a95468
127856b40
1349c7745
1430accc8
1520473b9
hex15f13e0

23008224 has 48 divisors (see below), whose sum is σ = 61402320. Its totient is φ = 7541760.

The previous prime is 23008217. The next prime is 23008229. The reversal of 23008224 is 42280032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23008224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23008229) 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 7 ways as a sum of consecutive naturals, for example, 3892 + ... + 7820.

It is an arithmetic number, because the mean of its divisors is an integer number (1279215).

Almost surely, 223008224 is an apocalyptic number.

23008224 is a gapful number since it is divisible by the number (24) 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 23008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30701160).

23008224 is an abundant number, since it is smaller than the sum of its proper divisors (38394096).

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

23008224 is a wasteful number, since it uses less digits than its factorization.

23008224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23008224 is about 4796.6888579519. The cubic root of 23008224 is about 284.4205895432.

Adding to 23008224 its reverse (42280032), we get a palindrome (65288256).

It can be divided in two parts, 23008 and 224, that added together give a palindrome (23232).

The spelling of 23008224 in words is "twenty-three million, eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3929 5856 7858 11787 15716 23574 31432 47148 62864 94296 125728 188592 239669 377184 479338 719007 958676 1438014 1917352 2876028 3834704 5752056 7669408 11504112 23008224