Search a number
-
+
22112320 = 265431607
BaseRepresentation
bin101010001011…
…0100001000000
31112121102101211
41110112201000
521130043240
62105535504
7355644256
oct124264100
945542354
1022112320
111153334a
1274a4594
134772a19
142d185d6
151e1bbea
hex1516840

22112320 has 56 divisors (see below), whose sum is σ = 53913024. Its totient is φ = 8633856.

The previous prime is 22112309. The next prime is 22112323. The reversal of 22112320 is 2321122.

It is a self number, because there is not a number n which added to its sum of digits gives 22112320.

It is not an unprimeable number, because it can be changed into a prime (22112323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12957 + ... + 14563.

Almost surely, 222112320 is an apocalyptic number.

22112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956512).

22112320 is an abundant number, since it is smaller than the sum of its proper divisors (31800704).

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

22112320 is a wasteful number, since it uses less digits than its factorization.

22112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 22112320 is about 4702.3738685902. The cubic root of 22112320 is about 280.6799799850.

Adding to 22112320 its reverse (2321122), we get a palindrome (24433442).

The spelling of 22112320 in words is "twenty-two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1607 1720 2752 3214 3440 6428 6880 8035 12856 13760 16070 25712 32140 51424 64280 69101 102848 128560 138202 257120 276404 345505 514240 552808 691010 1105616 1382020 2211232 2764040 4422464 5528080 11056160 22112320