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221211020200 = 235226939710357
BaseRepresentation
bin1100111000000100110…
…1000100101110101000
3210010222120120011011011
43032001031010232220
512111020010121300
6245342315513304
721660546435022
oct3160115045650
9703876504134
10221211020200
11858a6943665
1236a57158834
1317b248792c1
14a9c7165012
155b4a6a5eba
hex3381344ba8

221211020200 has 96 divisors (see below), whose sum is σ = 517577866200. Its totient is φ = 87924925440.

The previous prime is 221211020171. The next prime is 221211020207. The reversal of 221211020200 is 2020112122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1210622436 + 220000397764 = 34794^2 + 469042^2 .

It is not an unprimeable number, because it can be changed into a prime (221211020207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21353422 + ... + 21363778.

Almost surely, 2221211020200 is an apocalyptic number.

221211020200 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 221211020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258788933100).

221211020200 is an abundant number, since it is smaller than the sum of its proper divisors (296366846000).

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

221211020200 is a wasteful number, since it uses less digits than its factorization.

221211020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11039 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221211020200 its reverse (2020112122), we get a palindrome (223231132322).

The spelling of 221211020200 in words is "two hundred twenty-one billion, two hundred eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 397 538 794 1076 1345 1588 1985 2152 2690 3176 3970 5380 6725 7940 9925 10357 10760 13450 15880 19850 20714 26900 39700 41428 51785 53800 79400 82856 103570 106793 207140 213586 258925 414280 427172 517850 533965 854344 1035700 1067930 2071400 2135860 2669825 2786033 4111729 4271720 5339650 5572066 8223458 10679300 11144132 13930165 16446916 20558645 21358600 22288264 27860330 32893832 41117290 55720660 69650825 82234580 102793225 111441320 139301650 164469160 205586450 278603300 411172900 557206600 822345800 1106055101 2212110202 4424220404 5530275505 8848440808 11060551010 22121102020 27651377525 44242204040 55302755050 110605510100 221211020200