Search a number
-
+
22382568 = 2334132657
BaseRepresentation
bin101010101100…
…0011111101000
31120010011010000
41111120133220
521212220233
62115423000
7361151205
oct125303750
946104100
1022382568
11116a839a
1275b4a60
134838a30
142d88cac
151e71d13
hex15587e8

22382568 has 80 divisors (see below), whose sum is σ = 67539780. Its totient is φ = 6884352.

The previous prime is 22382543. The next prime is 22382587. The reversal of 22382568 is 86528322.

It can be written as a sum of positive squares in 2 ways, for example, as 22071204 + 311364 = 4698^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7096 + ... + 9752.

Almost surely, 222382568 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 22382568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33769890).

22382568 is an abundant number, since it is smaller than the sum of its proper divisors (45157212).

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

22382568 is a wasteful number, since it uses less digits than its factorization.

22382568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2675 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 22382568 is about 4731.0218769310. The cubic root of 22382568 is about 281.8188061917.

The spelling of 22382568 in words is "twenty-two million, three hundred eighty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2657 2808 4212 5314 7971 8424 10628 15942 21256 23913 31884 34541 47826 63768 69082 71739 95652 103623 138164 143478 191304 207246 215217 276328 286956 310869 414492 430434 573912 621738 828984 860868 932607 1243476 1721736 1865214 2486952 2797821 3730428 5595642 7460856 11191284 22382568