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22124040234420 = 22351995471338683
BaseRepresentation
bin1010000011111001001111…
…00011110010010110110100
32220100001000101220010211010
411001330213203302112310
510344440013300000140
6115015351015512220
74442260225101315
oct501744743622664
986301011803733
1022124040234420
11705a830a37953
122593954388670
13c46398aa0307
14566b4887c60c
1528576c88a880
hex141f278f25b4

22124040234420 has 96 divisors (see below), whose sum is σ = 62270169292800. Its totient is φ = 5869006830720.

The previous prime is 22124040234403. The next prime is 22124040234473. The reversal of 22124040234420 is 2443204042122.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65154399 + ... + 65493081.

It is an arithmetic number, because the mean of its divisors is an integer number (648647596800).

Almost surely, 222124040234420 is an apocalyptic number.

22124040234420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22124040234420 is an abundant number, since it is smaller than the sum of its proper divisors (40146129058380).

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

22124040234420 is a wasteful number, since it uses less digits than its factorization.

22124040234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344365 (or 344363 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22124040234420 its reverse (2443204042122), we get a palindrome (24567244276542).

The spelling of 22124040234420 in words is "twenty-two trillion, one hundred twenty-four billion, forty million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1990 2388 2985 3980 5471 5970 10942 11940 16413 21884 27355 32826 54710 65652 82065 109420 164130 328260 338683 677366 1016049 1088729 1354732 1693415 2032098 2177458 3266187 3386830 4064196 4354916 5080245 5443645 6532374 6773660 10160490 10887290 13064748 16330935 20320980 21774580 32661870 65323740 67397917 134795834 202193751 269591668 336989585 404387502 673979170 808775004 1010968755 1347958340 1852934693 2021937510 3705869386 4043875020 5558804079 7411738772 9264673465 11117608158 18529346930 22235216316 27794020395 37058693860 55588040790 111176081580 368734003907 737468007814 1106202011721 1474936015628 1843670019535 2212404023442 3687340039070 4424808046884 5531010058605 7374680078140 11062020117210 22124040234420