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221221110200 = 23523895035653
BaseRepresentation
bin1100111000000111001…
…1100100000110111000
3210011000021112210000212
43032001303210012320
512111030101011300
6245343320050252
721661031260646
oct3160163440670
9704007483025
10221221110200
1185901605402
1236a5a603988
1317b2699cb0c
14a9c8630196
155b4b4ea935
hex3381ce41b8

221221110200 has 96 divisors (see below), whose sum is σ = 516777861600. Its totient is φ = 88069916160.

The previous prime is 221221110161. The next prime is 221221110203. The reversal of 221221110200 is 2011122122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221110203) by changing a digit.

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, 39130574 + ... + 39136226.

It is an arithmetic number, because the mean of its divisors is an integer number (5383102725).

Almost surely, 2221221110200 is an apocalyptic number.

221221110200 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 221221110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258388930800).

221221110200 is an abundant number, since it is smaller than the sum of its proper divisors (295556751400).

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

221221110200 is a wasteful number, since it uses less digits than its factorization.

221221110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6561 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221221110200 its reverse (2011122122), we get a palindrome (223232232322).

The spelling of 221221110200 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 389 503 778 1006 1556 1945 2012 2515 3112 3890 4024 5030 5653 7780 9725 10060 11306 12575 15560 19450 20120 22612 25150 28265 38900 45224 50300 56530 77800 100600 113060 141325 195667 226120 282650 391334 565300 782668 978335 1130600 1565336 1956670 2199017 2843459 3913340 4398034 4891675 5686918 7826680 8796068 9783350 10995085 11373836 14217295 17592136 19566700 21990170 22747672 28434590 39133400 43980340 54975425 56869180 71086475 87960680 109950850 113738360 142172950 219901700 284345900 439803400 568691800 1106105551 2212211102 4424422204 5530527755 8848844408 11061055510 22122111020 27652638775 44244222040 55305277550 110610555100 221221110200