Search a number
-
+
22992768 = 27336653
BaseRepresentation
bin101011110110…
…1011110000000
31121021011011000
41113231132000
521341232033
62140452000
7366302211
oct127553600
947234130
1022992768
1111a84897
12784a000
1349c06b6
1430a7408
152042a13
hex15ed780

22992768 has 64 divisors (see below), whose sum is σ = 67870800. Its totient is φ = 7663104.

The previous prime is 22992763. The next prime is 22992779. The reversal of 22992768 is 86729922.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22992763) 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, 130 + ... + 6782.

Almost surely, 222992768 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 22992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33935400).

22992768 is an abundant number, since it is smaller than the sum of its proper divisors (44878032).

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

22992768 is an equidigital number, since it uses as much as digits as its factorization.

22992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6658 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 22992768 is about 4795.0774759121. The cubic root of 22992768 is about 284.3568878373.

The spelling of 22992768 in words is "twenty-two million, nine hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6653 13306 19959 26612 39918 53224 59877 79836 106448 119754 159672 179631 212896 239508 319344 359262 425792 479016 638688 718524 851584 958032 1277376 1437048 1916064 2554752 2874096 3832128 5748192 7664256 11496384 22992768