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22022320 = 245475857
BaseRepresentation
bin101010000000…
…0100010110000
31112102211221111
41110000202300
521114203240
62104003104
7355121005
oct124004260
945384844
1022022320
1111481771
127460494
134740a78
142cd38ac
151e001ea
hex15008b0

22022320 has 40 divisors (see below), whose sum is σ = 52300224. Its totient is φ = 8620032.

The previous prime is 22022309. The next prime is 22022323. The reversal of 22022320 is 2322022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 22022320.

It is not an unprimeable number, because it can be changed into a prime (22022323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 832 + ... + 6688.

Almost surely, 222022320 is an apocalyptic number.

22022320 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 22022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26150112).

22022320 is an abundant number, since it is smaller than the sum of its proper divisors (30277904).

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

22022320 is a wasteful number, since it uses less digits than its factorization.

22022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 22022320 is about 4692.7944766418. The cubic root of 22022320 is about 280.2986609131.

Adding to 22022320 its reverse (2322022), we get a palindrome (24344342).

The spelling of 22022320 in words is "twenty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 5857 11714 23428 29285 46856 58570 93712 117140 234280 275279 468560 550558 1101116 1376395 2202232 2752790 4404464 5505580 11011160 22022320