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21220410200 = 235211371032531
BaseRepresentation
bin10011110000110101…
…011100001101011000
32000202212221112022112
4103300311130031120
5321424411111300
613425403011452
71350601340063
oct236065341530
960685845275
1021220410200
118aaa4062a0
124142809b88
132002497152
1410544098da
15842e88e35
hex4f0d5c358

21220410200 has 192 divisors, whose sum is σ = 55836069120. Its totient is φ = 7432128000.

The previous prime is 21220410199. The next prime is 21220410203. The reversal of 21220410200 is 201402212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220410203) 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 47 ways as a sum of consecutive naturals, for example, 8382935 + ... + 8385465.

It is an arithmetic number, because the mean of its divisors is an integer number (290812860).

Almost surely, 221220410200 is an apocalyptic number.

21220410200 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 21220410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27918034560).

21220410200 is an abundant number, since it is smaller than the sum of its proper divisors (34615658920).

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

21220410200 is a wasteful number, since it uses less digits than its factorization.

21220410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2689 counting only the distinct ones).

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

Adding to 21220410200 its reverse (201402212), we get a palindrome (21421812412).

The spelling of 21220410200 in words is "twenty-one billion, two hundred twenty million, four hundred ten thousand, two hundred".