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22263325253312 = 2611137577321053
BaseRepresentation
bin1010000111111100101011…
…00101111101111011000000
32220211100112102020012212112
411003332111211331323000
510404230242231101222
6115203344101114452
74455320645162513
oct503762545757300
986740472205775
1022263325253312
11710390677a110
1225b69466b8a28
13c565654a9060
1456d79d152d7a
152891c092abe2
hex143f9597dec0

22263325253312 has 112 divisors (see below), whose sum is σ = 51909361715232. Its totient is φ = 9339993415680.

The previous prime is 22263325253251. The next prime is 22263325253329. The reversal of 22263325253312 is 21335252336222.

It is a self number, because there is not a number n which added to its sum of digits gives 22263325253312.

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, 69184178 + ... + 69505230.

It is an arithmetic number, because the mean of its divisors is an integer number (463476443886).

Almost surely, 222263325253312 is an apocalyptic number.

22263325253312 is a gapful number since it is divisible by the number (22) 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 22263325253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25954680857616).

22263325253312 is an abundant number, since it is smaller than the sum of its proper divisors (29646036461920).

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

22263325253312 is a wasteful number, since it uses less digits than its factorization.

22263325253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328666 (or 328656 counting only the distinct ones).

The product of its digits is 777600, while the sum is 41.

Adding to 22263325253312 its reverse (21335252336222), we get a palindrome (43598577589534).

The spelling of 22263325253312 in words is "twenty-two trillion, two hundred sixty-three billion, three hundred twenty-five million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 7577 9152 15154 30308 60616 83347 98501 121232 166694 197002 242464 321053 333388 394004 484928 642106 666776 788008 1083511 1284212 1333552 1576016 2167022 2568424 2667104 3152032 3531583 4173689 4334044 5136848 5334208 6304064 7063166 8347378 8668088 10273696 14126332 16694756 17336176 20547392 28252664 33389512 34672352 45910579 56505328 66779024 69344704 91821158 113010656 133558048 183642316 226021312 267116096 367284632 734569264 1469138528 2432618581 2938277056 4865237162 9730474324 19460948648 26758804391 31624041553 38921897296 53517608782 63248083106 77843794592 107035217564 126496166212 155687589184 214070435128 252992332424 347864457083 428140870256 505984664848 695728914166 856281740512 1011969329696 1391457828332 1712563481024 2023938659392 2782915656664 5565831313328 11131662626656 22263325253312