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22140008 = 23114753101
BaseRepresentation
bin101010001110…
…1010001101000
31112122211101022
41110131101220
521131440013
62110312012
7356121062
oct124352150
945584338
1022140008
1111552130
1274b8608
1347824c7
142d24732
151e25008
hex151d468

22140008 has 64 divisors (see below), whose sum is σ = 47589120. Its totient is φ = 9568000.

The previous prime is 22139993. The next prime is 22140029. The reversal of 22140008 is 80004122.

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, 219158 + ... + 219258.

It is an arithmetic number, because the mean of its divisors is an integer number (743580).

Almost surely, 222140008 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 22140008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23794560).

22140008 is an abundant number, since it is smaller than the sum of its proper divisors (25449112).

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

22140008 is a wasteful number, since it uses less digits than its factorization.

22140008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 22140008 is about 4705.3169925096. The cubic root of 22140008 is about 280.7970825150.

The spelling of 22140008 in words is "twenty-two million, one hundred forty thousand, eight".

Divisors: 1 2 4 8 11 22 44 47 53 88 94 101 106 188 202 212 376 404 424 517 583 808 1034 1111 1166 2068 2222 2332 2491 4136 4444 4664 4747 4982 5353 8888 9494 9964 10706 18988 19928 21412 27401 37976 42824 52217 54802 58883 104434 109604 117766 208868 219208 235532 251591 417736 471064 503182 1006364 2012728 2767501 5535002 11070004 22140008