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22528140 = 22352391571
BaseRepresentation
bin101010111110…
…0000010001100
31120101112210120
41111330002030
521231400030
62122504540
7362325465
oct125740214
946345716
1022528140
11117977a8
127665150
13488a07b
142dc5d6c
151ea0010
hex157c08c

22528140 has 48 divisors (see below), whose sum is σ = 63383040. Its totient is φ = 5978560.

The previous prime is 22528123. The next prime is 22528169. The reversal of 22528140 is 4182522.

It is a super-4 number, since 4×225281404 (a number of 31 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22528140.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13555 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (1320480).

Almost surely, 222528140 is an apocalyptic number.

22528140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22528140 is an abundant number, since it is smaller than the sum of its proper divisors (40854900).

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

22528140 is a wasteful number, since it uses less digits than its factorization.

22528140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 22528140 is about 4746.3817798403. The cubic root of 22528140 is about 282.4284518731.

The spelling of 22528140 in words is "twenty-two million, five hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 478 717 956 1195 1434 1571 2390 2868 3142 3585 4713 4780 6284 7170 7855 9426 14340 15710 18852 23565 31420 47130 94260 375469 750938 1126407 1501876 1877345 2252814 3754690 4505628 5632035 7509380 11264070 22528140