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22099400 = 2352472351
BaseRepresentation
bin101010001001…
…1010111001000
31112120202200022
41110103113020
521124140100
62105400012
7355561511
oct124232710
945522608
1022099400
1111524674
127499008
134769b8b
142d13a08
151e17e85
hex15135c8

22099400 has 48 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 8648000.

The previous prime is 22099393. The next prime is 22099403. The reversal of 22099400 is 499022.

It is a Cunningham number, because it is equal to 47012-1.

It is a self number, because there is not a number n which added to its sum of digits gives 22099400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22099403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8225 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 222099400 is an apocalyptic number.

22099400 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 22099400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

22099400 is an abundant number, since it is smaller than the sum of its proper divisors (30397240).

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

22099400 is a wasteful number, since it uses less digits than its factorization.

22099400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 22099400 is about 4700.9998936396. Note that the first 3 decimals coincide. The cubic root of 22099400 is about 280.6253031976.

The spelling of 22099400 in words is "twenty-two million, ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 2351 4700 4702 9400 9404 11755 18808 23510 47020 58775 94040 110497 117550 220994 235100 441988 470200 552485 883976 1104970 2209940 2762425 4419880 5524850 11049700 22099400