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222421264380352 = 26197111717219871
BaseRepresentation
bin110010100100101001111100…
…011101000011000111000000
31002011112021011100012020012201
4302210221330131003013000
5213123122222140132402
62105014530202202544
764564256164110502
oct6244517435030700
91064467140166181
10222421264380352
1164963368261224
1220b428934b3454
139715309a6609b
143ccd364aa7d72
151aaaa4a56d687
hexca4a7c7431c0

222421264380352 has 112 divisors (see below), whose sum is σ = 471183022356480. Its totient is φ = 103864195814400.

The previous prime is 222421264380349. The next prime is 222421264380379. The reversal of 222421264380352 is 253083462124222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011488977 + ... + 1011708847.

It is an arithmetic number, because the mean of its divisors is an integer number (4206991271040).

Almost surely, 2222421264380352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222421264380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235591511178240).

222421264380352 is an abundant number, since it is smaller than the sum of its proper divisors (248761757976128).

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

222421264380352 is a wasteful number, since it uses less digits than its factorization.

222421264380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231690 (or 231680 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 222421264380352 in words is "two hundred twenty-two trillion, four hundred twenty-one billion, two hundred sixty-four million, three hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 142 152 284 304 568 608 1136 1216 1349 2272 2698 4544 5396 10792 11717 21584 23434 43168 46868 86336 93736 187472 219871 222623 374944 439742 445246 749888 831907 879484 890492 1663814 1758968 1780984 3327628 3517936 3561968 4177549 6655256 7035872 7123936 8355098 13310512 14071744 14247872 15610841 15806233 16710196 26621024 31221682 31612466 33420392 53242048 62443364 63224932 66840784 124886728 126449864 133681568 249773456 252899728 267363136 296605979 499546912 505799456 593211958 999093824 1011598912 1186423916 2372847832 2576228507 4745695664 5152457014 9491391328 10304914028 18982782656 20609828056 41219656112 48948341633 82439312224 97896683266 164878624448 182912223997 195793366532 365824447994 391586733064 731648895988 783173466128 1463297791976 1566346932256 2926595583952 3132693864512 3475332255943 5853191167904 6950664511886 11706382335808 13901329023772 27802658047544 55605316095088 111210632190176 222421264380352