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22021012002256 = 2443229683204641
BaseRepresentation
bin1010000000111001010101…
…00110010001010111010000
32212222012002012002122222121
411000130222212101113100
510341243013033033011
6114500151355144024
74431652130423521
oct500345246212720
985865065078877
1022021012002256
117020071209143
1225779a0445014
13c39759aa2c27
14561b73586848
15282c3c881e71
hex14072a9915d0

22021012002256 has 80 divisors (see below), whose sum is σ = 43912997156160. Its totient is φ = 10691755683840.

The previous prime is 22021012002203. The next prime is 22021012002257. The reversal of 22021012002256 is 65220021012022.

It is a super-3 number, since 3×220210120022563 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22021012002256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021012002257) 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, 107505696 + ... + 107710336.

It is an arithmetic number, because the mean of its divisors is an integer number (548912464452).

Almost surely, 222021012002256 is an apocalyptic number.

It is an amenable number.

22021012002256 is a deficient number, since it is larger than the sum of its proper divisors (21891985153904).

22021012002256 is a wasteful number, since it uses less digits than its factorization.

22021012002256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205604 (or 205598 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 22021012002256 its reverse (65220021012022), we get a palindrome (87241033014278).

The spelling of 22021012002256 in words is "twenty-two trillion, twenty-one billion, twelve million, two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 43 86 172 229 344 458 683 688 916 1366 1832 2732 3664 5464 9847 10928 19694 29369 39388 58738 78776 117476 156407 157552 204641 234952 312814 409282 469904 625628 818564 1251256 1637128 2502512 3274256 6725501 8799563 13451002 17599126 26902004 35198252 46862789 53804008 70396504 93725578 107608016 139769803 140793008 187451156 279539606 374902312 559079212 749804624 1118158424 2015099927 2236316848 4030199854 6010101529 8060399708 12020203058 16120799416 24040406116 32007284887 32241598832 48080812232 64014569774 96161624464 128029139548 256058279096 512116558192 1376313250141 2752626500282 5505253000564 11010506001128 22021012002256