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200022011220200 = 235213216733549649
BaseRepresentation
bin101101011110101101000000…
…111011010001000011101000
3222020012220202212121220021012
4231132231000323101003220
5202204130034333021300
61545224502102203052
760063053621514251
oct5536550073210350
9866186685556235
10200022011220200
1158807949852924
121a525732a23488
13877bcc153bc30
14375718d085b28
15181d071687435
hexb5eb40ed10e8

200022011220200 has 96 divisors (see below), whose sum is σ = 500847592791000. Its totient is φ = 73850852597760.

The previous prime is 200022011220191. The next prime is 200022011220223. The reversal of 200022011220200 is 2022110220002.

It can be written as a sum of positive squares in 12 ways, for example, as 52080960957796 + 147941050262404 = 7216714^2 + 12163102^2 .

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, 54574976 + ... + 58124624.

Almost surely, 2200022011220200 is an apocalyptic number.

200022011220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022011220200 is an abundant number, since it is smaller than the sum of its proper divisors (300825581570800).

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

200022011220200 is a wasteful number, since it uses less digits than its factorization.

200022011220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571351 (or 3571342 counting only the distinct ones).

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

Adding to 200022011220200 its reverse (2022110220002), we get a palindrome (202044121440202).

The spelling of 200022011220200 in words is "two hundred trillion, twenty-two billion, eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 21673 43346 86692 108365 173384 216730 281749 433460 541825 563498 866920 1083650 1126996 1408745 2167300 2253992 2817490 3549649 4334600 5634980 7043725 7099298 11269960 14087450 14198596 17748245 28174900 28397192 35496490 46145437 56349800 70992980 88741225 92290874 141985960 177482450 184581748 230727185 354964900 369163496 461454370 709929800 922908740 1153635925 1845817480 2307271850 4614543700 9229087400 76931542777 153863085554 307726171108 384657713885 615452342216 769315427770 1000110056101 1538630855540 1923288569425 2000220112202 3077261711080 3846577138850 4000440224404 5000550280505 7693154277700 8000880448808 10001100561010 15386308555400 20002201122020 25002751402525 40004402244040 50005502805050 100011005610100 200022011220200