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22004940 = 22351372677
BaseRepresentation
bin101001111110…
…0010011001100
31112101222002210
41103330103030
521113124230
62103350420
7355016226
oct123742314
945358083
1022004940
111146a701
127452410
134735b99
142ccb416
151de9eb0
hex14fc4cc

22004940 has 48 divisors (see below), whose sum is σ = 62086752. Its totient is φ = 5822976.

The previous prime is 22004933. The next prime is 22004989. The reversal of 22004940 is 4940022.

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 15 ways as a sum of consecutive naturals, for example, 6882 + ... + 9558.

It is an arithmetic number, because the mean of its divisors is an integer number (1293474).

Almost surely, 222004940 is an apocalyptic number.

22004940 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 22004940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31043376).

22004940 is an abundant number, since it is smaller than the sum of its proper divisors (40081812).

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

22004940 is a wasteful number, since it uses less digits than its factorization.

22004940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22004940 is about 4690.9423360344. The cubic root of 22004940 is about 280.2249043358.

Adding to 22004940 its reverse (4940022), we get a palindrome (26944962).

It can be divided in two parts, 2200 and 4940, that added together give a triangular number (7140 = T119).

The spelling of 22004940 in words is "twenty-two million, four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2677 2740 4110 5354 8031 8220 10708 13385 16062 26770 32124 40155 53540 80310 160620 366749 733498 1100247 1466996 1833745 2200494 3667490 4400988 5501235 7334980 11002470 22004940