Search a number
-
+
222741873354 = 2371113195119009
BaseRepresentation
bin1100111101110001110…
…0110100001011001010
3210021221021010112220010
43033130130310023022
512122133404421404
6250154243212350
722043515453530
oct3173434641312
9707837115803
10222741873354
1186511a87260
12372039770b6
1318009a81980
14aad05ba150
155bd9c97189
hex33dc7342ca

222741873354 has 128 divisors (see below), whose sum is σ = 598470082560. Its totient is φ = 53374464000.

The previous prime is 222741873313. The next prime is 222741873377. The reversal of 222741873354 is 453378147222.

222741873354 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2227418733542 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11708202 + ... + 11727210.

It is an arithmetic number, because the mean of its divisors is an integer number (4675547520).

Almost surely, 2222741873354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222741873354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299235041280).

222741873354 is an abundant number, since it is smaller than the sum of its proper divisors (375728209206).

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

222741873354 is a wasteful number, since it uses less digits than its factorization.

222741873354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20996.

The product of its digits is 2257920, while the sum is 48.

The spelling of 222741873354 in words is "two hundred twenty-two billion, seven hundred forty-one million, eight hundred seventy-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1951 2002 3003 3902 5853 6006 11706 13657 19009 21461 25363 27314 38018 40971 42922 50726 57027 64383 76089 81942 114054 128766 133063 150227 152178 177541 209099 247117 266126 278993 300454 355082 399189 418198 450681 494234 532623 557986 627297 741351 798378 836979 901362 1065246 1254594 1463693 1482702 1673958 1729819 1952951 2718287 2927386 3459638 3905902 4391079 5189457 5436574 5858853 8154861 8782158 10378914 11717706 16309722 19028009 37086559 38056018 57084027 74173118 111259677 114168054 222519354 259605913 407952149 482125267 519211826 778817739 815904298 964250534 1223856447 1446375801 1557635478 2447712894 2855665043 2892751602 3374876869 5303377937 5711330086 6749753738 8566995129 10124630607 10606755874 15910133811 17133990258 20249261214 31820267622 37123645559 74247291118 111370936677 222741873354