Search a number
-
+
22875648 = 29353281
BaseRepresentation
bin101011101000…
…0111000000000
31121001012111020
41113100320000
521324010043
62134145440
7365303565
oct127207000
947035436
1022875648
1111a048a4
1277b2280
13497c2b3
14307686c
15201ce83
hex15d0e00

22875648 has 80 divisors (see below), whose sum is σ = 62312976. Its totient is φ = 7454720.

The previous prime is 22875641. The next prime is 22875649. The reversal of 22875648 is 84657822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22875641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81268 + ... + 81548.

Almost surely, 222875648 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 22875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31156488).

22875648 is an abundant number, since it is smaller than the sum of its proper divisors (39437328).

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

22875648 is an equidigital number, since it uses as much as digits as its factorization.

22875648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 22875648 is about 4782.8493599527. The cubic root of 22875648 is about 283.8732489997.

The spelling of 22875648 in words is "twenty-two million, eight hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 281 318 384 424 512 562 636 768 843 848 1124 1272 1536 1686 1696 2248 2544 3372 3392 4496 5088 6744 6784 8992 10176 13488 13568 14893 17984 20352 26976 27136 29786 35968 40704 44679 53952 59572 71936 81408 89358 107904 119144 143872 178716 215808 238288 357432 431616 476576 714864 953152 1429728 1906304 2859456 3812608 5718912 7625216 11437824 22875648