Search a number
-
+
22090112 = 271129541
BaseRepresentation
bin101010001000…
…1000110000000
31112120021221022
41110101012000
521123340422
62105245012
7355522442
oct124210600
945507838
1022090112
11115186a0
127493768
134765895
142d10492
151e15342
hex1511180

22090112 has 64 divisors (see below), whose sum is σ = 49755600. Its totient is φ = 9676800.

The previous prime is 22090111. The next prime is 22090121. The reversal of 22090112 is 21109022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22090111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40562 + ... + 41102.

Almost surely, 222090112 is an apocalyptic number.

22090112 is a gapful number since it is divisible by the number (22) 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 22090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24877800).

22090112 is an abundant number, since it is smaller than the sum of its proper divisors (27665488).

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

22090112 is a wasteful number, since it uses less digits than its factorization.

22090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 22090112 is about 4700.0119148785. The cubic root of 22090112 is about 280.5859836829.

Adding to 22090112 its reverse (21109022), we get a palindrome (43199134).

The spelling of 22090112 in words is "twenty-two million, ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 541 638 704 928 1082 1276 1408 1856 2164 2552 3712 4328 5104 5951 8656 10208 11902 15689 17312 20416 23804 31378 34624 40832 47608 62756 69248 95216 125512 172579 190432 251024 345158 380864 502048 690316 761728 1004096 1380632 2008192 2761264 5522528 11045056 22090112