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2262556893216 = 253711272613763
BaseRepresentation
bin100000111011001010111…
…001100110000000100000
322000022001110221222022110
4200323022321212000200
5244032204031040331
64451223154235320
7322315161162654
oct40731271460040
98008043858273
102262556893216
117a25aa421834
123065b9885b40
13135486c6c999
147b718c44a64
153dcc33bc946
hex20ecae66020

2262556893216 has 96 divisors (see below), whose sum is σ = 6070289154048. Its totient is φ = 737708186880.

The previous prime is 2262556893173. The next prime is 2262556893241. The reversal of 2262556893216 is 6123986552622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 441250 + ... + 2172513.

It is an arithmetic number, because the mean of its divisors is an integer number (63232178688).

Almost surely, 22262556893216 is an apocalyptic number.

It is an amenable number.

2262556893216 is an abundant number, since it is smaller than the sum of its proper divisors (3807732260832).

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

2262556893216 is a wasteful number, since it uses less digits than its factorization.

2262556893216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613974 (or 2613966 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 57.

The spelling of 2262556893216 in words is "two trillion, two hundred sixty-two billion, five hundred fifty-six million, eight hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 127 142 213 254 284 381 426 508 568 762 852 1016 1136 1524 1704 2032 2272 3048 3408 4064 6096 6816 9017 12192 18034 27051 36068 54102 72136 108204 144272 216408 288544 432816 865632 2613763 5227526 7841289 10455052 15682578 20910104 31365156 41820208 62730312 83640416 125460624 185577173 250921248 331947901 371154346 556731519 663895802 742308692 995843703 1113463038 1327791604 1484617384 1991687406 2226926076 2655583208 2969234768 3983374812 4453852152 5311166416 5938469536 7966749624 8907704304 10622332832 15933499248 17815408608 23568300971 31866998496 47136601942 70704902913 94273203884 141409805826 188546407768 282819611652 377092815536 565639223304 754185631072 1131278446608 2262556893216