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22013422320 = 24353719112979
BaseRepresentation
bin10100100000000110…
…100010101011110000
32002211011010201102210
4110200012202223300
5330040414003240
614040212012120
71406341000551
oct244006425360
962734121383
1022013422320
11937700400a
124324301040
1320ca8714a6
1410cb876328
1588c8d0780
hex5201a2af0

22013422320 has 160 divisors (see below), whose sum is σ = 70458347520. Its totient is φ = 5681249280.

The previous prime is 22013422303. The next prime is 22013422331. The reversal of 22013422320 is 2322431022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689591 + ... + 1702569.

It is an arithmetic number, because the mean of its divisors is an integer number (440364672).

Almost surely, 222013422320 is an apocalyptic number.

22013422320 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 22013422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35229173760).

22013422320 is an abundant number, since it is smaller than the sum of its proper divisors (48444925200).

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

22013422320 is a wasteful number, since it uses less digits than its factorization.

22013422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13223 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22013422320 its reverse (2322431022), we get a palindrome (24335853342).

The spelling of 22013422320 in words is "twenty-two billion, thirteen million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 191 222 240 296 370 382 444 555 573 592 740 764 888 955 1110 1146 1480 1528 1776 1910 2220 2292 2865 2960 3056 3820 4440 4584 5730 7067 7640 8880 9168 11460 12979 14134 15280 21201 22920 25958 28268 35335 38937 42402 45840 51916 56536 64895 70670 77874 84804 103832 106005 113072 129790 141340 155748 169608 194685 207664 212010 259580 282680 311496 339216 389370 424020 480223 519160 565360 622992 778740 848040 960446 1038320 1440669 1557480 1696080 1920892 2401115 2478989 2881338 3114960 3841784 4802230 4957978 5762676 7203345 7436967 7683568 9604460 9915956 11525352 12394945 14406690 14873934 19208920 19831912 23050704 24789890 28813380 29747868 37184835 38417840 39663824 49579780 57626760 59495736 74369670 91722593 99159560 115253520 118991472 148739340 183445186 198319120 275167779 297478680 366890372 458612965 550335558 594957360 733780744 917225930 1100671116 1375838895 1467561488 1834451860 2201342232 2751677790 3668903720 4402684464 5503355580 7337807440 11006711160 22013422320