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222314342214320 = 24523881320942737
BaseRepresentation
bin110010100011000110010111…
…011001010110101010110000
31002011011001011202021102022022
4302203012113121112222300
5213114344233101324240
62104453444321131012
764553452434515066
oct6243062731265260
91064131152242268
10222314342214320
1164921a8a503354
1220b26013489a68
1397081ca102c15
143cc810058c036
151aa7d8d7919b5
hexca3197656ab0

222314342214320 has 160 divisors (see below), whose sum is σ = 540147037127040. Its totient is φ = 84934387957760.

The previous prime is 222314342214311. The next prime is 222314342214361. The reversal of 222314342214320 is 23412243413222.

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, 5201895992 + ... + 5201938728.

It is an arithmetic number, because the mean of its divisors is an integer number (3375918982044).

Almost surely, 2222314342214320 is an apocalyptic number.

222314342214320 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 222314342214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270073518563520).

222314342214320 is an abundant number, since it is smaller than the sum of its proper divisors (317832694912720).

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

222314342214320 is a wasteful number, since it uses less digits than its factorization.

222314342214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46863 (or 46857 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 222314342214320 its reverse (23412243413222), we get a palindrome (245726585627542).

The spelling of 222314342214320 in words is "two hundred twenty-two trillion, three hundred fourteen billion, three hundred forty-two million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 881 920 1762 1840 3209 3524 4405 6418 7048 8810 12836 14096 16045 17620 20263 25672 32090 35240 40526 42737 51344 64180 70480 73807 81052 85474 101315 128360 147614 162104 170948 202630 213685 256720 295228 324208 341896 369035 405260 427370 590456 683792 738070 810520 854740 982951 1180912 1476140 1621040 1709480 1965902 2827129 2952280 3418960 3931804 4914755 5654258 5904560 7863608 9829510 11308516 14135645 15727216 19659020 22617032 28271290 37651297 39318040 45234064 56542580 65023967 75302594 78636080 113085160 130047934 137143033 150605188 188256485 226170320 260095868 274286066 301210376 325119835 376512970 520191736 548572132 602420752 650239670 685715165 753025940 865979831 1040383472 1097144264 1300479340 1371430330 1506051880 1731959662 2194288528 2600958680 2742860660 3012103760 3154289759 3463919324 4329899155 5201917360 5485721320 6308579518 6927838648 8659798310 10971442640 12617159036 13855677296 15771448795 17319596620 25234318072 31542897590 34639193240 50468636144 63085795180 69278386480 120823012073 126171590360 241646024146 252343180720 483292048292 604115060365 966584096584 1208230120730 1933168193168 2416460241460 2778929277679 4832920482920 5557858555358 9665840965840 11115717110716 13894646388395 22231434221432 27789292776790 44462868442864 55578585553580 111157171107160 222314342214320