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22010122020200 = 235289101121310093
BaseRepresentation
bin1010000000100101000011…
…00000010010010101101000
32212221010222020200020222212
411000102201200102111220
510341103212214121300
6114451151021104252
74431115225205636
oct500224140222550
985833866606885
1022010122020200
117016493094476
1225758613b8088
13c387128b8b72
1456141d154356
152828017c5935
hex1404a1812568

22010122020200 has 192 divisors, whose sum is σ = 52309144969200. Its totient is φ = 8610978816000.

The previous prime is 22010122020191. The next prime is 22010122020259. The reversal of 22010122020200 is 202022101022.

It can be written as a sum of positive squares in 24 ways, for example, as 1934363582596 + 20075758437604 = 1390814^2 + 4480598^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2180726354 + ... + 2180736446.

Almost surely, 222010122020200 is an apocalyptic number.

22010122020200 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 22010122020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26154572484600).

22010122020200 is an abundant number, since it is smaller than the sum of its proper divisors (30299022949000).

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

22010122020200 is a wasteful number, since it uses less digits than its factorization.

22010122020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11512 (or 11503 counting only the distinct ones).

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

Adding to 22010122020200 its reverse (202022101022), we get a palindrome (22212144121222).

The spelling of 22010122020200 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, twenty thousand, two hundred".