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22002200020200 = 233523728113012711
BaseRepresentation
bin1010000000010110010010…
…10100010000010011101000
32212220101112011000221222110
411000023021110100103220
510340441001201121300
6114443400545122320
74430415012262011
oct500131124202350
985811464027873
1022002200020200
117013098351634
1225742103293a0
13c37a4c5859ba
14560caad92008
152824db086550
hex1402c95104e8

22002200020200 has 384 divisors, whose sum is σ = 70379522922240. Its totient is φ = 5681894400000.

The previous prime is 22002200020169. The next prime is 22002200020217. The reversal of 22002200020200 is 202000220022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8115896845 + ... + 8115899555.

It is an arithmetic number, because the mean of its divisors is an integer number (183280007610).

Almost surely, 222002200020200 is an apocalyptic number.

22002200020200 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 22002200020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35189761461120).

22002200020200 is an abundant number, since it is smaller than the sum of its proper divisors (48377322902040).

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

22002200020200 is a wasteful number, since it uses less digits than its factorization.

22002200020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22002200020200 its reverse (202000220022), we get a palindrome (22204200240222).

The spelling of 22002200020200 in words is "twenty-two trillion, two billion, two hundred million, twenty thousand, two hundred".