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221212020200 = 235221124121751
BaseRepresentation
bin1100111000000101000…
…0111000110111101000
3210010222122102221220012
43032001100320313220
512111020234121300
6245342353151052
721660561101333
oct3160120706750
9703878387805
10221212020200
11858a7466a06
1236a5755b488
1317b24b39512
14a9c734561a
155b4a802435
hex3381438de8

221212020200 has 96 divisors (see below), whose sum is σ = 518923542720. Its totient is φ = 87696000000.

The previous prime is 221212020187. The next prime is 221212020283. The reversal of 221212020200 is 2020212122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10159325 + ... + 10181075.

It is an arithmetic number, because the mean of its divisors is an integer number (5405453570).

Almost surely, 2221212020200 is an apocalyptic number.

221212020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259461771360).

221212020200 is an abundant number, since it is smaller than the sum of its proper divisors (297711522520).

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

221212020200 is a wasteful number, since it uses less digits than its factorization.

221212020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22219 (or 22210 counting only the distinct ones).

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

Adding to 221212020200 its reverse (2020212122), we get a palindrome (223232232322).

The spelling of 221212020200 in words is "two hundred twenty-one billion, two hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 241 422 482 844 964 1055 1205 1688 1928 2110 2410 4220 4820 5275 6025 8440 9640 10550 12050 21100 21751 24100 42200 43502 48200 50851 87004 101702 108755 174008 203404 217510 254255 406808 435020 508510 543775 870040 1017020 1087550 1271275 2034040 2175100 2542550 4350200 4589461 5085100 5241991 9178922 10170200 10483982 18357844 20967964 22947305 26209955 36715688 41935928 45894610 52419910 91789220 104839820 114736525 131049775 183578440 209679640 229473050 262099550 458946100 524199100 917892200 1048398200 1106060101 2212120202 4424240404 5530300505 8848480808 11060601010 22121202020 27651502525 44242404040 55303005050 110606010100 221212020200