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2242214321424 = 2437111075669717
BaseRepresentation
bin100000101000001110011…
…000110101110100010000
321221100112202211020220120
4200220032120311310100
5243214023331241144
64434020430310240
7320665106160330
oct40501630656420
97840482736816
102242214321424
11794a10591530
12302681058380
1313359460cc5c
147a7492670c0
153d4d2533e19
hex20a0e635d10

2242214321424 has 160 divisors (see below), whose sum is σ = 7289170891776. Its totient is φ = 576950300160.

The previous prime is 2242214321371. The next prime is 2242214321437. The reversal of 2242214321424 is 4241234122422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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, 2439387 + ... + 3230330.

Almost surely, 22242214321424 is an apocalyptic number.

2242214321424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242214321424 is an abundant number, since it is smaller than the sum of its proper divisors (5046956570352).

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

2242214321424 is a wasteful number, since it uses less digits than its factorization.

2242214321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669853 (or 5669847 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 2242214321424 its reverse (4241234122422), we get a palindrome (6483448443846).

The spelling of 2242214321424 in words is "two trillion, two hundred forty-two billion, two hundred fourteen million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 107 112 132 154 168 176 214 231 264 308 321 336 428 462 528 616 642 749 856 924 1177 1232 1284 1498 1712 1848 2247 2354 2568 2996 3531 3696 4494 4708 5136 5992 7062 8239 8988 9416 11984 14124 16478 17976 18832 24717 28248 32956 35952 49434 56496 65912 98868 131824 197736 395472 5669717 11339434 17009151 22678868 34018302 39688019 45357736 62366887 68036604 79376038 90715472 119064057 124733774 136073208 158752076 187100661 238128114 249467548 272146416 317504152 374201322 436568209 476256228 498935096 606659719 635008304 748402644 873136418 952512456 997870192 1213319438 1309704627 1496805288 1746272836 1819979157 1905024912 2426638876 2619409254 2993610576 3492545672 3639958314 4246618033 4853277752 5238818508 6673256909 6985091344 7279916628 8493236066 9706555504 10477637016 12739854099 13346513818 14559833256 16986472132 20019770727 20955274032 25479708198 26693027636 29119666512 33972944264 40039541454 46712798363 50959416396 53386055272 67945888528 80079082908 93425596726 101918832792 106772110544 140138395089 160158165816 186851193452 203837665584 280276790178 320316331632 373702386904 560553580356 747404773808 1121107160712 2242214321424