Search a number
-
+
222330738694760 = 235199710632837141
BaseRepresentation
bin110010100011010101101000…
…101100111101101001101000
31002011012121111110010221000122
4302203111220230331221220
5213120131323101213020
62104505155322422412
764554602652351053
oct6243255054755150
91064177443127018
10222330738694760
1164928a3392a833
1220b2922a661a08
139709911067757
143cc8c18049a9a
151aa84ecea3125
hexca3568b3da68

222330738694760 has 128 divisors (see below), whose sum is σ = 532502047123200. Its totient is φ = 83304604016640.

The previous prime is 222330738694751. The next prime is 222330738694777. The reversal of 222330738694760 is 67496837033222.

222330738694760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222330738694693 and 222330738694702.

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, 76945790 + ... + 79782930.

It is an arithmetic number, because the mean of its divisors is an integer number (4160172243150).

Almost surely, 2222330738694760 is an apocalyptic number.

222330738694760 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 222330738694760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266251023561600).

222330738694760 is an abundant number, since it is smaller than the sum of its proper divisors (310171308428440).

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

222330738694760 is a wasteful number, since it uses less digits than its factorization.

222330738694760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838331 (or 2838327 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 62.

The spelling of 222330738694760 in words is "two hundred twenty-two trillion, three hundred thirty billion, seven hundred thirty-eight million, six hundred ninety-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 380 388 485 760 776 970 1063 1843 1940 2126 3686 3880 4252 5315 7372 8504 9215 10630 14744 18430 20197 21260 36860 40394 42520 73720 80788 100985 103111 161576 201970 206222 403940 412444 515555 807880 824888 1031110 1959109 2062220 2837141 3918218 4124440 5674282 7836436 9795545 11348564 14185705 15672872 19591090 22697128 28371410 39182180 53905679 56742820 78364360 107811358 113485640 215622716 269528395 275202677 431245432 539056790 550405354 1078113580 1100810708 1376013385 2156227160 2201621416 2752026770 3015880883 5228850863 5504053540 6031761766 10457701726 11008107080 12063523532 15079404415 20915403452 24127047064 26144254315 30158808830 41830806904 52288508630 57301736777 60317617660 104577017260 114603473554 120635235320 209154034520 229206947108 286508683885 292540445651 458413894216 573017367770 585080891302 1146034735540 1170161782604 1462702228255 2292069471080 2340323565208 2925404456510 5558268467369 5850808913020 11116536934738 11701617826040 22233073869476 27791342336845 44466147738952 55582684673690 111165369347380 222330738694760