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221200020122200 = 23527831903614631
BaseRepresentation
bin110010010010111000100100…
…100111111010101001011000
31002000012111220201122222200021
4302102320210213322221120
5212443120120122402300
62102241515243320224
764410113464150660
oct6222704447725130
91060174821588607
10221200020122200
1164532446760599
1220986067220074
1396570c3084532
143c8a1d0d271a0
151a88dc0787d1a
hexc92e249faa58

221200020122200 has 96 divisors (see below), whose sum is σ = 594841500207360. Its totient is φ = 74926271836800.

The previous prime is 221200020122171. The next prime is 221200020122227. The reversal of 221200020122200 is 2221020002122.

It is a congruent number.

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, 951691116 + ... + 951923515.

It is an arithmetic number, because the mean of its divisors is an integer number (6196265627160).

Almost surely, 2221200020122200 is an apocalyptic number.

221200020122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200020122200 is an abundant number, since it is smaller than the sum of its proper divisors (373641480085160).

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

221200020122200 is a wasteful number, since it uses less digits than its factorization.

221200020122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903614737 (or 1903614728 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221200020122200 its reverse (2221020002122), we get a palindrome (223421040124322).

The spelling of 221200020122200 in words is "two hundred twenty-one trillion, two hundred billion, twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 140 166 175 200 280 332 350 415 581 664 700 830 1162 1400 1660 2075 2324 2905 3320 4150 4648 5810 8300 11620 14525 16600 23240 29050 58100 116200 1903614631 3807229262 7614458524 9518073155 13325302417 15228917048 19036146310 26650604834 38072292620 47590365775 53301209668 66626512085 76144585240 95180731550 106602419336 133253024170 158000014373 190361463100 266506048340 316000028746 333132560425 380722926200 533012096680 632000057492 666265120850 790000071865 1106000100611 1264000114984 1332530241700 1580000143730 2212000201222 2665060483400 3160000287460 3950000359325 4424000402444 5530000503055 6320000574920 7900000718650 8848000804888 11060001006110 15800001437300 22120002012220 27650002515275 31600002874600 44240004024440 55300005030550 110600010061100 221200020122200