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22438134 = 235137337
BaseRepresentation
bin101010110011…
…0000011110110
31120012222100000
41111212003312
521221010014
62120532130
7361502205
oct125460366
946188300
1022438134
1111736114
127621046
134858104
142da123c
151e83509
hex15660f6

22438134 has 48 divisors (see below), whose sum is σ = 50935248. Its totient is φ = 7402752.

The previous prime is 22438127. The next prime is 22438139. The reversal of 22438134 is 43183422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22438098 and 22438107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22438139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66414 + ... + 66750.

It is an arithmetic number, because the mean of its divisors is an integer number (1061151).

Almost surely, 222438134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22438134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25467624).

22438134 is an abundant number, since it is smaller than the sum of its proper divisors (28497114).

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

22438134 is a wasteful number, since it uses less digits than its factorization.

22438134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 22438134 is about 4736.8907523818. The cubic root of 22438134 is about 282.0518238844.

The spelling of 22438134 in words is "twenty-two million, four hundred thirty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 337 411 486 674 822 1011 1233 2022 2466 3033 3699 6066 7398 9099 11097 18198 22194 27297 33291 46169 54594 66582 81891 92338 138507 163782 277014 415521 831042 1246563 2493126 3739689 7479378 11219067 22438134