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23021568 = 211321249
BaseRepresentation
bin101011111010…
…0100000000000
31121022121122200
41113310200000
521343142233
62141233200
7366452163
oct127644000
947277580
1023021568
1111aa4499
127862800
134a0083b
1430b3ada
15204b313
hex15f4800

23021568 has 72 divisors (see below), whose sum is σ = 66543750. Its totient is φ = 7667712.

The previous prime is 23021567. The next prime is 23021639. The reversal of 23021568 is 86512032.

It can be written as a sum of positive squares in only one way, i.e., 20358144 + 2663424 = 4512^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (23021567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17808 + ... + 19056.

Almost surely, 223021568 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 23021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33271875).

23021568 is an abundant number, since it is smaller than the sum of its proper divisors (43522182).

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

23021568 is a wasteful number, since it uses less digits than its factorization.

23021568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 23021568 is about 4798.0796158463. The cubic root of 23021568 is about 284.4755637249.

The spelling of 23021568 in words is "twenty-three million, twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1249 1536 2048 2304 2498 3072 3747 4608 4996 6144 7494 9216 9992 11241 14988 18432 19984 22482 29976 39968 44964 59952 79936 89928 119904 159872 179856 239808 319744 359712 479616 639488 719424 959232 1278976 1438848 1918464 2557952 2877696 3836928 5755392 7673856 11510784 23021568