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22112442 = 23211293851
BaseRepresentation
bin101010001011…
…0100010111010
31112121102120100
41110112202322
521130044232
62105540230
7355644522
oct124264272
945542510
1022112442
1111533450
1274a4676
134772ab1
142d18682
151e1bc7c
hex15168ba

22112442 has 48 divisors (see below), whose sum is σ = 54082080. Its totient is φ = 6468000.

The previous prime is 22112429. The next prime is 22112443. The reversal of 22112442 is 24421122.

22112442 is a `hidden beast` number, since 221 + 1 + 2 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22112443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3817 + ... + 7667.

It is an arithmetic number, because the mean of its divisors is an integer number (1126710).

Almost surely, 222112442 is an apocalyptic number.

22112442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27041040).

22112442 is an abundant number, since it is smaller than the sum of its proper divisors (31969638).

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

22112442 is a wasteful number, since it uses less digits than its factorization.

22112442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3896 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22112442 is about 4702.3868407438. The cubic root of 22112442 is about 280.6804961813.

Adding to 22112442 its reverse (24421122), we get a palindrome (46533564).

The spelling of 22112442 in words is "twenty-two million, one hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 3851 5742 7702 11553 23106 34659 42361 69318 84722 111679 127083 223358 254166 335037 381249 670074 762498 1005111 1228469 2010222 2456938 3685407 7370814 11056221 22112442