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22413224040 = 2335431433357
BaseRepresentation
bin10100110111111011…
…101010100001101000
32010212000102202021220
4110313323222201220
5331400241132130
614144013102040
71422264155334
oct246773524150
963760382256
1022413224040
119561753a59
124416187920
13216264375c
1411289c87c4
158b2a55410
hex537eea868

22413224040 has 64 divisors (see below), whose sum is σ = 67395836160. Its totient is φ = 5962978560.

The previous prime is 22413224039. The next prime is 22413224047. The reversal of 22413224040 is 4042231422.

It is a super-2 number, since 2×224132240402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22413224040.

It is not an unprimeable number, because it can be changed into a prime (22413224047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164959 + ... + 268398.

It is an arithmetic number, because the mean of its divisors is an integer number (1053059940).

Almost surely, 222413224040 is an apocalyptic number.

22413224040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22413224040 is an abundant number, since it is smaller than the sum of its proper divisors (44982612120).

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

22413224040 is a wasteful number, since it uses less digits than its factorization.

22413224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433802 (or 433798 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22413224040 its reverse (4042231422), we get a palindrome (26455455462).

The spelling of 22413224040 in words is "twenty-two billion, four hundred thirteen million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 431 862 1293 1724 2155 2586 3448 4310 5172 6465 8620 10344 12930 17240 25860 51720 433357 866714 1300071 1733428 2166785 2600142 3466856 4333570 5200284 6500355 8667140 10400568 13000710 17334280 26001420 52002840 186776867 373553734 560330601 747107468 933884335 1120661202 1494214936 1867768670 2241322404 2801653005 3735537340 4482644808 5603306010 7471074680 11206612020 22413224040