Search a number
-
+
22142112 = 253230647
BaseRepresentation
bin101010001110…
…1110010100000
31112122221021020
41110131302200
521132021422
62110325440
7356130156
oct124356240
945587236
1022142112
1111553773
1274b9880
134783455
142d253d6
151e2595c
hex151dca0

22142112 has 24 divisors (see below), whose sum is σ = 58123296. Its totient is φ = 7380672.

The previous prime is 22142111. The next prime is 22142117. The reversal of 22142112 is 21124122.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22142091 and 22142100.

It is not an unprimeable number, because it can be changed into a prime (22142111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115228 + ... + 115419.

It is an arithmetic number, because the mean of its divisors is an integer number (2421804).

Almost surely, 222142112 is an apocalyptic number.

It is an amenable number.

22142112 is an abundant number, since it is smaller than the sum of its proper divisors (35981184).

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

22142112 is a wasteful number, since it uses less digits than its factorization.

22142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230660 (or 230652 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 22142112 is about 4705.5405640585. The cubic root of 22142112 is about 280.8059770970.

Adding to 22142112 its reverse (21124122), we get a palindrome (43266234).

The spelling of 22142112 in words is "twenty-two million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 230647 461294 691941 922588 1383882 1845176 2767764 3690352 5535528 7380704 11071056 22142112