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22104412011240 = 23351314169494879
BaseRepresentation
bin1010000011010100101011…
…01000000011101011101000
32220021011100110221002111020
411001222111220003223220
510344124313433324430
6115002343210532440
74440663636000666
oct501522550035350
986234313832436
1022104412011240
1170524793572a9
12258bb96a37120
13c4458b434980
14565c05ad1c36
15284ebe5aab10
hex141a95a03ae8

22104412011240 has 64 divisors (see below), whose sum is σ = 71414254195200. Its totient is φ = 5441086033152.

The previous prime is 22104412011221. The next prime is 22104412011257. The reversal of 22104412011240 is 4211021440122.

It is a happy number.

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 22104412011240.

It is an unprimeable number.

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, 7084745880 + ... + 7084748999.

It is an arithmetic number, because the mean of its divisors is an integer number (1115847721800).

Almost surely, 222104412011240 is an apocalyptic number.

22104412011240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22104412011240 is an abundant number, since it is smaller than the sum of its proper divisors (49309842183960).

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

22104412011240 is a wasteful number, since it uses less digits than its factorization.

22104412011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14169494906 (or 14169494902 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 22104412011240 its reverse (4211021440122), we get a palindrome (26315433451362).

The spelling of 22104412011240 in words is "twenty-two trillion, one hundred four billion, four hundred twelve million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 14169494879 28338989758 42508484637 56677979516 70847474395 85016969274 113355959032 141694948790 170033938548 184203433427 212542423185 283389897580 340067877096 368406866854 425084846370 552610300281 566779795160 736813733708 850169692740 921017167135 1105220600562 1473627467416 1700339385480 1842034334270 2210441201124 2763051501405 3684068668540 4420882402248 5526103002810 7368137337080 11052206005620 22104412011240