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22054980 = 22351492467
BaseRepresentation
bin101010000100…
…0100001000100
31112111111202010
41110020201010
521121224410
62104414220
7355315143
oct124104104
945444663
1022054980
11114a4262
127477370
1347528ac
142d0175a
151e09c20
hex1508844

22054980 has 48 divisors (see below), whose sum is σ = 62193600. Its totient is φ = 5839488.

The previous prime is 22054957. The next prime is 22055003. The reversal of 22054980 is 8945022.

It is an interprime number because it is at equal distance from previous prime (22054957) and next prime (22055003).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7707 + ... + 10173.

It is an arithmetic number, because the mean of its divisors is an integer number (1295700).

Almost surely, 222054980 is an apocalyptic number.

22054980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22054980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31096800).

22054980 is an abundant number, since it is smaller than the sum of its proper divisors (40138620).

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

22054980 is a wasteful number, since it uses less digits than its factorization.

22054980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 22054980 is about 4696.2729903616. The cubic root of 22054980 is about 280.4371572578.

The spelling of 22054980 in words is "twenty-two million, fifty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2467 2980 4470 4934 7401 8940 9868 12335 14802 24670 29604 37005 49340 74010 148020 367583 735166 1102749 1470332 1837915 2205498 3675830 4410996 5513745 7351660 11027490 22054980