Search a number
-
+
222832753120460 = 22572417043787429
BaseRepresentation
bin110010101010101001001011…
…000110000001010011001100
31002012222121021200212001211102
4302222221023012001103030
5213201342434244323320
62105531541550042232
764636064231513600
oct6252511306012314
91065877250761742
10222832753120460
116500192699805a
1220baa5921a9378
1397450666409a2
143d0523ca01500
151ab65d0898175
hexcaaa4b1814cc

222832753120460 has 144 divisors (see below), whose sum is σ = 557705259992160. Its totient is φ = 74525713597440.

The previous prime is 222832753120433. The next prime is 222832753120517. The reversal of 222832753120460 is 64021357238222.

It is a super-2 number, since 2×2228327531204602 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282594026 + ... + 283381454.

It is an arithmetic number, because the mean of its divisors is an integer number (3872953194390).

Almost surely, 2222832753120460 is an apocalyptic number.

222832753120460 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 222832753120460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278852629996080).

222832753120460 is an abundant number, since it is smaller than the sum of its proper divisors (334872506871700).

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

222832753120460 is a wasteful number, since it uses less digits than its factorization.

222832753120460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794536 (or 794527 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 222832753120460 in words is "two hundred twenty-two trillion, eight hundred thirty-two billion, seven hundred fifty-three million, one hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5740 7043 8036 10045 14086 20090 28172 35215 40180 49301 70430 98602 140860 197204 246505 288763 345107 493010 577526 690214 787429 986020 1155052 1380428 1443815 1574858 1725535 2021341 2887630 3149716 3451070 3937145 4042682 5512003 5775260 6902140 7874290 8085364 10106705 11024006 14149387 15748580 20213410 22048012 27560015 28298774 32284589 38584021 40426820 55120030 56597548 64569178 70746935 77168042 110240060 129138356 141493870 154336084 161422945 192920105 225992123 282987740 322845890 385840210 451984246 645691780 771680420 903968492 1129960615 1581944861 2259921230 3163889722 4519842460 5545862447 6327779444 7909724305 11091724894 15819448610 22183449788 27729312235 31638897220 38821037129 55458624470 77642074258 110917248940 155284148516 194105185645 227380360327 271747259903 388210371290 454760720654 543494519806 776420742580 909521441308 1086989039612 1136901801635 1358736299515 1591662522289 2273803603270 2717472599030 3183325044578 4547607206540 5434945198060 6366650089156 7958312611445 11141637656023 15916625222890 22283275312046 31833250445780 44566550624092 55708188280115 111416376560230 222832753120460