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18222205440 = 29352372683
BaseRepresentation
bin10000111110001000…
…001100101000000000
31202000221021221120210
4100332020030220000
5244304341033230
612212101034120
71213364122245
oct207610145000
952027257523
1018222205440
117800a6171a
1236466b5940
131945290aaa
14c4c14d5cc
15719b4beb0
hex43e20ca00

18222205440 has 80 divisors (see below), whose sum is σ = 58254137568. Its totient is φ = 4859252736.

The previous prime is 18222205433. The next prime is 18222205459. The reversal of 18222205440 is 4450222281.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18222205398 and 18222205407.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1178662 + ... + 1194021.

Almost surely, 218222205440 is an apocalyptic number.

18222205440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18222205440 is an abundant number, since it is smaller than the sum of its proper divisors (40031932128).

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

18222205440 is an equidigital number, since it uses as much as digits as its factorization.

18222205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372709 (or 2372693 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 18222205440 in words is "eighteen billion, two hundred twenty-two million, two hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 2372683 4745366 7118049 9490732 11863415 14236098 18981464 23726830 28472196 35590245 37962928 47453660 56944392 71180490 75925856 94907320 113888784 142360980 151851712 189814640 227777568 284721960 303703424 379629280 455555136 569443920 607406848 759258560 911110272 1138887840 1214813696 1518517120 1822220544 2277775680 3037034240 3644441088 4555551360 6074068480 9111102720 18222205440