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221120200200 = 233521721275203
BaseRepresentation
bin1100110111101111001…
…0100111111000001000
3210010202020200000112110
43031323302213320020
512110323232401300
6245325313142320
721655364455464
oct3157362477010
9703666600473
10221120200200
118585a652209
1236a3085a9a0
1317b0bacb063
14a9b90834a4
155b42716550
hex337bca7e08

221120200200 has 144 divisors (see below), whose sum is σ = 728166988080. Its totient is φ = 55496791040.

The previous prime is 221120200193. The next prime is 221120200219. The reversal of 221120200200 is 2002021122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 464202 + ... + 811001.

It is an arithmetic number, because the mean of its divisors is an integer number (5056715195).

Almost surely, 2221120200200 is an apocalyptic number.

221120200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120200200 is an abundant number, since it is smaller than the sum of its proper divisors (507046787880).

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

221120200200 is a wasteful number, since it uses less digits than its factorization.

221120200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275256 (or 1275230 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221120200200 its reverse (2002021122), we get a palindrome (223122221322).

The spelling of 221120200200 in words is "two hundred twenty-one billion, one hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 289 300 340 408 425 510 578 600 680 850 867 1020 1156 1275 1445 1700 1734 2040 2312 2550 2890 3400 3468 4335 5100 5780 6936 7225 8670 10200 11560 14450 17340 21675 28900 34680 43350 57800 86700 173400 1275203 2550406 3825609 5100812 6376015 7651218 10201624 12752030 15302436 19128045 21678451 25504060 30604872 31880075 38256090 43356902 51008120 63760150 65035353 76512180 86713804 95640225 108392255 127520300 130070706 153024360 173427608 191280450 216784510 255040600 260141412 325176765 368533667 382560900 433569020 520282824 541961275 650353530 737067334 765121800 867138040 1083922550 1105601001 1300707060 1474134668 1625883825 1842668335 2167845100 2211202002 2601414120 2948269336 3251767650 3685336670 4335690200 4422404004 5528005005 6503535300 7370673340 8844808008 9213341675 11056010010 13007070600 14741346680 18426683350 22112020020 27640025025 36853366700 44224040040 55280050050 73706733400 110560100100 221120200200