Search a number
-
+
22959104 = 21073203
BaseRepresentation
bin101011110010…
…1010000000000
31121012102222012
41113211100000
521334142404
62140032052
7366102110
oct127452000
947172865
1022959104
1111a61573
127832628
1349ab28c
143099040
152037a6e
hex15e5400

22959104 has 44 divisors (see below), whose sum is σ = 52468704. Its totient is φ = 9836544.

The previous prime is 22959073. The next prime is 22959107. The reversal of 22959104 is 40195922.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22959107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5567 + ... + 8769.

Almost surely, 222959104 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 22959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234352).

22959104 is an abundant number, since it is smaller than the sum of its proper divisors (29509600).

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

22959104 is an equidigital number, since it uses as much as digits as its factorization.

22959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 22959104 is about 4791.5659235786. The cubic root of 22959104 is about 284.2180432252.

The spelling of 22959104 in words is "twenty-two million, nine hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3203 3584 6406 7168 12812 22421 25624 44842 51248 89684 102496 179368 204992 358736 409984 717472 819968 1434944 1639936 2869888 3279872 5739776 11479552 22959104