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22205144 = 2313892399
BaseRepresentation
bin101010010110…
…1001011011000
31112210010201202
41110231023120
521141031034
62111533332
7356512013
oct124551330
945703652
1022205144
1111597065
12752a248
1347a6050
142d4037a
151e3947e
hex152d2d8

22205144 has 32 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 10129152.

The previous prime is 22205137. The next prime is 22205177. The reversal of 22205144 is 44150222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8057 + ... + 10455.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 222205144 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 22205144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

22205144 is an abundant number, since it is smaller than the sum of its proper divisors (23154856).

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

22205144 is a wasteful number, since it uses less digits than its factorization.

22205144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 22205144 is about 4712.2334407370. The cubic root of 22205144 is about 281.0721816569.

Adding to 22205144 its reverse (44150222), we get a palindrome (66355366).

The spelling of 22205144 in words is "twenty-two million, two hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 2399 4628 4798 9256 9596 19192 31187 62374 124748 213511 249496 427022 854044 1708088 2775643 5551286 11102572 22205144