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22144698840 = 2335113138647
BaseRepresentation
bin10100100111111011…
…010100100111011000
32010011022011020222010
4110213323110213120
5330323020330330
614101221425520
71412523556125
oct244773244730
963138136863
1022144698840
119434118000
12436026b2a0
13211bb15cc4
14110108974c
158991b23b0
hex527ed49d8

22144698840 has 128 divisors (see below), whose sum is σ = 73073041920. Its totient is φ = 5368373120.

The previous prime is 22144698799. The next prime is 22144698841. The reversal of 22144698840 is 4889644122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22144698840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144698841) 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 31 ways as a sum of consecutive naturals, for example, 90397 + ... + 229043.

It is an arithmetic number, because the mean of its divisors is an integer number (570883140).

Almost surely, 222144698840 is an apocalyptic number.

22144698840 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 22144698840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36536520960).

22144698840 is an abundant number, since it is smaller than the sum of its proper divisors (50928343080).

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

22144698840 is a wasteful number, since it uses less digits than its factorization.

22144698840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138694 (or 138668 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 22144698840 in words is "twenty-two billion, one hundred forty-four million, six hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1331 1452 1815 2420 2662 2904 3630 3993 4840 5324 6655 7260 7986 10648 13310 14520 15972 19965 26620 31944 39930 53240 79860 138647 159720 277294 415941 554588 693235 831882 1109176 1386470 1525117 1663764 2079705 2772940 3050234 3327528 4159410 4575351 5545880 6100468 7625585 8318820 9150702 12200936 15251170 16637640 16776287 18301404 22876755 30502340 33552574 36602808 45753510 50328861 61004680 67105148 83881435 91507020 100657722 134210296 167762870 183014040 184539157 201315444 251644305 335525740 369078314 402630888 503288610 553617471 671051480 738156628 922695785 1006577220 1107234942 1476313256 1845391570 2013154440 2214469884 2768087355 3690783140 4428939768 5536174710 7381566280 11072349420 22144698840