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22364040 = 2335227821
BaseRepresentation
bin101010101001…
…1111110001000
31120002012200210
41111103332020
521211122130
62115201120
7361043166
oct125237610
946065623
1022364040
1111695486
1275a61a0
13483047a
142d82236
151e6b5b0
hex1553f88

22364040 has 64 divisors (see below), whose sum is σ = 67469760. Its totient is φ = 5930240.

The previous prime is 22363967. The next prime is 22364053. The reversal of 22364040 is 4046322.

It is a junction number, because it is equal to n+sod(n) for n = 22363998 and 22364016.

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, 26830 + ... + 27650.

It is an arithmetic number, because the mean of its divisors is an integer number (1054215).

Almost surely, 222364040 is an apocalyptic number.

22364040 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 22364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33734880).

22364040 is an abundant number, since it is smaller than the sum of its proper divisors (45105720).

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

22364040 is a wasteful number, since it uses less digits than its factorization.

22364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 22364040 is about 4729.0633322044. The cubic root of 22364040 is about 281.7410227387.

The spelling of 22364040 in words is "twenty-two million, three hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 821 908 1135 1362 1642 1816 2270 2463 2724 3284 3405 4105 4540 4926 5448 6568 6810 8210 9080 9852 12315 13620 16420 19704 24630 27240 32840 49260 98520 186367 372734 559101 745468 931835 1118202 1490936 1863670 2236404 2795505 3727340 4472808 5591010 7454680 11182020 22364040