Search a number
-
+
22942976 = 28723159
BaseRepresentation
bin101011110000…
…1010100000000
31121011121211212
41113201110000
521333133401
62135425252
7366004100
oct127412400
947147755
1022942976
1111a50441
127825228
1349a3b34
143093200
152032dbb
hex15e1500

22942976 has 108 divisors (see below), whose sum is σ = 55923840. Its totient is φ = 9354240.

The previous prime is 22942949. The next prime is 22942981. The reversal of 22942976 is 67924922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388835 + ... + 388893.

Almost surely, 222942976 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 22942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961920).

22942976 is an abundant number, since it is smaller than the sum of its proper divisors (32980864).

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

22942976 is an equidigital number, since it uses as much as digits as its factorization.

22942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 22942976 is about 4789.8826707969. The cubic root of 22942976 is about 284.1514764237.

The spelling of 22942976 in words is "twenty-two million, nine hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 59 62 64 98 112 118 124 128 196 217 224 236 248 256 392 413 434 448 472 496 784 826 868 896 944 992 1519 1568 1652 1736 1792 1829 1888 1984 2891 3038 3136 3304 3472 3658 3776 3968 5782 6076 6272 6608 6944 7316 7552 7936 11564 12152 12544 12803 13216 13888 14632 15104 23128 24304 25606 26432 27776 29264 46256 48608 51212 52864 55552 58528 89621 92512 97216 102424 105728 117056 179242 185024 194432 204848 234112 358484 370048 388864 409696 468224 716968 740096 819392 1433936 1638784 2867872 3277568 5735744 11471488 22942976