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22540512 = 253713307
BaseRepresentation
bin101010111111…
…1000011100000
31120102011202210
41111333003200
521232244022
62123042120
7362406531
oct125770340
946364683
1022540512
11117a6025
127670340
1348928a7
142dca688
151ea3a0c
hex157f0e0

22540512 has 48 divisors (see below), whose sum is σ = 60020352. Its totient is φ = 7405440.

The previous prime is 22540501. The next prime is 22540519. The reversal of 22540512 is 21504522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22540519) 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 7 ways as a sum of consecutive naturals, for example, 5163 + ... + 8469.

It is an arithmetic number, because the mean of its divisors is an integer number (1250424).

Almost surely, 222540512 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 22540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30010176).

22540512 is an abundant number, since it is smaller than the sum of its proper divisors (37479840).

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

22540512 is a wasteful number, since it uses less digits than its factorization.

22540512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 22540512 is about 4747.6849095112. The cubic root of 22540512 is about 282.4801437476.

The spelling of 22540512 in words is "twenty-two million, five hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3307 3408 6614 6816 9921 13228 19842 26456 39684 52912 79368 105824 158736 234797 317472 469594 704391 939188 1408782 1878376 2817564 3756752 5635128 7513504 11270256 22540512