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22135338 = 23223127421
BaseRepresentation
bin101010001110…
…0001000101010
31112122120222100
41110130020222
521131312323
62110234230
7356101341
oct124341052
945576870
1022135338
1111549675
1274b5976
134780344
142d22b58
151e23943
hex151c22a

22135338 has 48 divisors (see below), whose sum is σ = 50558976. Its totient is φ = 6985440.

The previous prime is 22135327. The next prime is 22135339. The reversal of 22135338 is 83353122.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22135339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52368 + ... + 52788.

It is an arithmetic number, because the mean of its divisors is an integer number (1053312).

Almost surely, 222135338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22135338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25279488).

22135338 is an abundant number, since it is smaller than the sum of its proper divisors (28423638).

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

22135338 is a wasteful number, since it uses less digits than its factorization.

22135338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 576 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 22135338 is about 4704.8207192198. The cubic root of 22135338 is about 280.7773382496. Note that the first 3 decimals are identical.

The spelling of 22135338 in words is "twenty-two million, one hundred thirty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 254 381 414 421 762 842 1143 1263 2286 2526 2921 3789 5842 7578 8763 9683 17526 19366 26289 29049 52578 53467 58098 87147 106934 160401 174294 320802 481203 962406 1229741 2459482 3689223 7378446 11067669 22135338