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221122002000200 = 235271031533439681
BaseRepresentation
bin110010010001101111111010…
…011000011001100101001000
31001222221001112111210202012012
4302101233322120121211020
5212440330330003001300
62102142013444235052
764401352226103230
oct6221577230314510
91058831474722165
10221122002000200
1164502350543814
1220972b1309ba88
13964c93b7203c2
143c8650d48acc0
151a86d5629c435
hexc91bfa619948

221122002000200 has 96 divisors (see below), whose sum is σ = 593257144172160. Its totient is φ = 75077206732800.

The previous prime is 221122002000181. The next prime is 221122002000227. The reversal of 221122002000200 is 2000200221122.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 766575641 + ... + 766864040.

It is an arithmetic number, because the mean of its divisors is an integer number (6179761918460).

Almost surely, 2221122002000200 is an apocalyptic number.

221122002000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122002000200 is an abundant number, since it is smaller than the sum of its proper divisors (372135142171960).

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

221122002000200 is a wasteful number, since it uses less digits than its factorization.

221122002000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533439807 (or 1533439798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221122002000200 its reverse (2000200221122), we get a palindrome (223122202221322).

The spelling of 221122002000200 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 103 140 175 200 206 280 350 412 515 700 721 824 1030 1400 1442 2060 2575 2884 3605 4120 5150 5768 7210 10300 14420 18025 20600 28840 36050 72100 144200 1533439681 3066879362 6133758724 7667198405 10734077767 12267517448 15334396810 21468155534 30668793620 38335992025 42936311068 53670388835 61337587240 76671984050 85872622136 107340777670 153343968100 157944287143 214681555340 268351944175 306687936200 315888574286 429363110680 536703888350 631777148572 789721435715 1073407776700 1105610010001 1263554297144 1579442871430 2146815553400 2211220020002 3158885742860 3948607178575 4422440040004 5528050050005 6317771485720 7897214357150 8844880080008 11056100100010 15794428714300 22112200200020 27640250250025 31588857428600 44224400400040 55280500500050 110561001000100 221122002000200