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22057205064 = 23331157188833
BaseRepresentation
bin10100100010101101…
…100011110101001000
32002221012112010001220
4110202231203311020
5330133121030224
614044414242040
71410412102206
oct244255436510
962835463056
1022057205064
1193997986a4
124336ab6320
132106960a3b
1410d35d2076
1589167d279
hex522b63d48

22057205064 has 64 divisors (see below), whose sum is σ = 57284682240. Its totient is φ = 7069870080.

The previous prime is 22057205063. The next prime is 22057205111. The reversal of 22057205064 is 46050275022.

It is not an unprimeable number, because it can be changed into a prime (22057205063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22392 + ... + 211224.

It is an arithmetic number, because the mean of its divisors is an integer number (895073160).

Almost surely, 222057205064 is an apocalyptic number.

22057205064 is a gapful number since it is divisible by the number (24) 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 22057205064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28642341120).

22057205064 is an abundant number, since it is smaller than the sum of its proper divisors (35227477176).

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

22057205064 is a wasteful number, since it uses less digits than its factorization.

22057205064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189030 (or 189026 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 22057205064 in words is "twenty-two billion, fifty-seven million, two hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 157 186 248 314 372 471 628 744 942 1256 1884 3768 4867 9734 14601 19468 29202 38936 58404 116808 188833 377666 566499 755332 1132998 1510664 2265996 4531992 5853823 11707646 17561469 23415292 29646781 35122938 46830584 59293562 70245876 88940343 118587124 140491752 177880686 237174248 355761372 711522744 919050211 1838100422 2757150633 3676200844 5514301266 7352401688 11028602532 22057205064