Search a number
-
+
6222240916272 = 2432311816976717
BaseRepresentation
bin101101010001011101001…
…1101011010001100110000
3211000211200200000211212100
41122202322131122030300
51303421122133310042
621122242533100400
71211353634063523
oct132427235321460
924024620024770
106222240916272
111a89923869197
12845ab3a87700
133619a73b2b54
1417722da44bba
15abcc4c7824c
hex5a8ba75a330

6222240916272 has 120 divisors (see below), whose sum is σ = 17976586309760. Its totient is φ = 2007037854720.

The previous prime is 6222240916237. The next prime is 6222240916291. The reversal of 6222240916272 is 2726190422226.

6222240916272 is a `hidden beast` number, since 6 + 2 + 222 + 409 + 16 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×62222409162722 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81068058 + ... + 81144774.

Almost surely, 26222240916272 is an apocalyptic number.

6222240916272 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6222240916272 is an abundant number, since it is smaller than the sum of its proper divisors (11754345393488).

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

6222240916272 is a wasteful number, since it uses less digits than its factorization.

6222240916272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94931 (or 94922 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6222240916272 in words is "six trillion, two hundred twenty-two billion, two hundred forty million, nine hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 18169 36338 54507 72676 76717 109014 145352 153434 163521 218028 230151 290704 306868 327042 436056 460302 563239 613736 654084 690453 872112 920604 1126478 1227472 1308168 1380906 1689717 1841208 2252956 2378227 2616336 2761812 3379434 3682416 4505912 4756454 5069151 5523624 6758868 7134681 9011824 9512908 10138302 11047248 13517736 14269362 19025816 20276604 21404043 27035472 28538724 38051632 40553208 42808086 57077448 81106416 85616172 114154896 171232344 342464688 1393871173 2787742346 4181613519 5575484692 8363227038 11150969384 12544840557 16726454076 22301938768 25089681114 33452908152 43210006363 50179362228 66905816304 86420012726 100358724456 129630019089 172840025452 200717448912 259260038178 345680050904 388890057267 518520076356 691360101808 777780114534 1037040152712 1555560229068 2074080305424 3111120458136 6222240916272