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22419920 = 245280249
BaseRepresentation
bin101010110000…
…1100111010000
31120012001100102
41111201213100
521214414140
62120311532
7361365125
oct125414720
946161312
1022419920
1111723466
1276125a8
13484ca33
142d9874c
151e7ce15
hex15619d0

22419920 has 20 divisors (see below), whose sum is σ = 52126500. Its totient is φ = 8967936.

The previous prime is 22419919. The next prime is 22419967. The reversal of 22419920 is 2991422.

It can be written as a sum of positive squares in 2 ways, for example, as 15429184 + 6990736 = 3928^2 + 2644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 140045 + ... + 140204.

It is an arithmetic number, because the mean of its divisors is an integer number (2606325).

Almost surely, 222419920 is an apocalyptic number.

22419920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22419920 is an abundant number, since it is smaller than the sum of its proper divisors (29706580).

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

22419920 is a wasteful number, since it uses less digits than its factorization.

22419920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280262 (or 280256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 22419920 is about 4734.9677929211. The cubic root of 22419920 is about 281.9754853528.

The spelling of 22419920 in words is "twenty-two million, four hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 280249 560498 1120996 1401245 2241992 2802490 4483984 5604980 11209960 22419920