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22475136 = 273107547
BaseRepresentation
bin101010110111…
…1000110000000
31120021212002110
41111233012000
521223201021
62121415320
7362015115
oct125570600
946255073
1022475136
11117609a2
12763a540
13486bbc8
142db090c
151e8e476
hex156f180

22475136 has 64 divisors (see below), whose sum is σ = 60367680. Its totient is φ = 7408128.

The previous prime is 22475113. The next prime is 22475137. The reversal of 22475136 is 63157422.

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 (22475137) 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 7 ways as a sum of consecutive naturals, for example, 40815 + ... + 41361.

It is an arithmetic number, because the mean of its divisors is an integer number (943245).

Almost surely, 222475136 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 22475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30183840).

22475136 is an abundant number, since it is smaller than the sum of its proper divisors (37892544).

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

22475136 is a wasteful number, since it uses less digits than its factorization.

22475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 22475136 is about 4740.7948700613. The cubic root of 22475136 is about 282.2067795804.

The spelling of 22475136 in words is "twenty-two million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 547 642 856 1094 1284 1641 1712 2188 2568 3282 3424 4376 5136 6564 6848 8752 10272 13128 13696 17504 20544 26256 35008 41088 52512 58529 70016 105024 117058 175587 210048 234116 351174 468232 702348 936464 1404696 1872928 2809392 3745856 5618784 7491712 11237568 22475136