Search a number
-
+
22691968 = 271321049
BaseRepresentation
bin101011010010…
…0000010000000
31120200212112021
41112210002000
521302120333
62130211224
7363610225
oct126440200
946625467
1022691968
11118998a2
127723b14
134916800
14302994c
151ed382d
hex15a4080

22691968 has 48 divisors (see below), whose sum is σ = 48998250. Its totient is φ = 10463232.

The previous prime is 22691959. The next prime is 22691993. The reversal of 22691968 is 86919622.

It can be written as a sum of positive squares in 3 ways, for example, as 16581184 + 6110784 = 4072^2 + 2472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21108 + ... + 22156.

Almost surely, 222691968 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 22691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24499125).

22691968 is an abundant number, since it is smaller than the sum of its proper divisors (26306282).

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

22691968 is a wasteful number, since it uses less digits than its factorization.

22691968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1064 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 22691968 is about 4763.6087160891. The cubic root of 22691968 is about 283.1114196242. Note that the first 3 decimals are identical.

The spelling of 22691968 in words is "twenty-two million, six hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1049 1352 1664 2098 2704 4196 5408 8392 10816 13637 16784 21632 27274 33568 54548 67136 109096 134272 177281 218192 354562 436384 709124 872768 1418248 1745536 2836496 5672992 11345984 22691968