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22202221022000 = 245373152070007
BaseRepresentation
bin1010000110001010110110…
…11111110100101100110000
32220121111210221211122112022
411003011123133310230300
510402230122040201000
6115115320505251012
74451025506606525
oct503053337645460
986544727748468
1022202221022000
11708a9aaa57798
1225a6b32a93a68
13c50878049276
1456a843b7d14c
152877e62a8585
hex14315b7f4b30

22202221022000 has 80 divisors (see below), whose sum is σ = 54420381342912. Its totient is φ = 8759232345600.

The previous prime is 22202221021997. The next prime is 22202221022011. The reversal of 22202221022000 is 22012220222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 22202221022000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75889004 + ... + 76181003.

Almost surely, 222202221022000 is an apocalyptic number.

22202221022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22202221022000 is an abundant number, since it is smaller than the sum of its proper divisors (32218160320912).

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

22202221022000 is a wasteful number, since it uses less digits than its factorization.

22202221022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152070103 (or 152070087 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22202221022000 its reverse (22012220222), we get a palindrome (22224233242222).

The spelling of 22202221022000 in words is "twenty-two trillion, two hundred two billion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 146000 152070007 304140014 608280028 760350035 1216560056 1520700070 2433120112 3041400140 3801750175 6082800280 7603500350 11101110511 12165600560 15207000700 19008750875 22202221022 30414001400 38017501750 44404442044 55505552555 60828002800 76035003500 88808884088 111011105110 152070007000 177617768176 222022210220 277527762775 304140014000 444044420440 555055525550 888088840880 1110111051100 1387638813875 2220222102200 2775277627750 4440444204400 5550555255500 11101110511000 22202221022000