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22320242340 = 22351137989231
BaseRepresentation
bin10100110010011000…
…111101111010100100
32010121112110210101020
4110302120331322210
5331202440223330
614130452131140
71420054633554
oct246230757244
963545423336
1022320242340
119514216480
1243ab006ab0
1321492b95b6
14111a503164
158a97da210
hex53263dea4

22320242340 has 96 divisors (see below), whose sum is σ = 68358850560. Its totient is φ = 5396630400.

The previous prime is 22320242339. The next prime is 22320242359. The reversal of 22320242340 is 4324202322.

It is a happy number.

It is a super-3 number, since 3×223202423403 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22320242340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205525 + ... + 294755.

It is an arithmetic number, because the mean of its divisors is an integer number (712071360).

Almost surely, 222320242340 is an apocalyptic number.

22320242340 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 22320242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34179425280).

22320242340 is an abundant number, since it is smaller than the sum of its proper divisors (46038608220).

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

22320242340 is a wasteful number, since it uses less digits than its factorization.

22320242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89633 (or 89631 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22320242340 its reverse (4324202322), we get a palindrome (26644444662).

The spelling of 22320242340 in words is "twenty-two billion, three hundred twenty million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 379 660 758 1137 1516 1895 2274 3790 4169 4548 5685 7580 8338 11370 12507 16676 20845 22740 25014 41690 50028 62535 83380 89231 125070 178462 250140 267693 356924 446155 535386 892310 981541 1070772 1338465 1784620 1963082 2676930 2944623 3926164 4907705 5353860 5889246 9815410 11778492 14723115 19630820 29446230 33818549 58892460 67637098 101455647 135274196 169092745 202911294 338185490 372004039 405822588 507278235 676370980 744008078 1014556470 1116012117 1488016156 1860020195 2029112940 2232024234 3720040390 4464048468 5580060585 7440080780 11160121170 22320242340