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22681980 = 22325126011
BaseRepresentation
bin101011010000…
…1100101111100
31120200100211100
41112201211330
521301310410
62130053100
7363536136
oct126414574
946610740
1022681980
1111892342
12771a190
1349120b9
143026056
151ed08c0
hex15a197c

22681980 has 36 divisors (see below), whose sum is σ = 68802552. Its totient is φ = 6048480.

The previous prime is 22681969. The next prime is 22682003. The reversal of 22681980 is 8918622.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×226819803 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 62826 + ... + 63185.

It is an arithmetic number, because the mean of its divisors is an integer number (1911182).

Almost surely, 222681980 is an apocalyptic number.

22681980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22681980 is an abundant number, since it is smaller than the sum of its proper divisors (46120572).

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

22681980 is a wasteful number, since it uses less digits than its factorization.

22681980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126026 (or 126021 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 22681980 is about 4762.5602358395. The cubic root of 22681980 is about 283.0698758228.

The spelling of 22681980 in words is "twenty-two million, six hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 126011 252022 378033 504044 630055 756066 1134099 1260110 1512132 1890165 2268198 2520220 3780330 4536396 5670495 7560660 11340990 22681980