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22220200000200 = 233521011637013209
BaseRepresentation
bin1010000110101100010110…
…01000001011101011001000
32220200020012221110101001210
411003112023020023223020
510403023432200001300
6115131452521213120
74452233161445556
oct503261310135310
986606187411053
1022220200000200
117097596691164
1225aa5100311a0
13c52481ac92c7
1456b66b896bd6
15287ee98ad050
hex14358b20bac8

22220200000200 has 384 divisors, whose sum is σ = 70113090153600. Its totient is φ = 5820595200000.

The previous prime is 22220200000189. The next prime is 22220200000223. The reversal of 22220200000200 is 200000202222.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6924336196 + ... + 6924339404.

It is an arithmetic number, because the mean of its divisors is an integer number (182586172275).

Almost surely, 222220200000200 is an apocalyptic number.

22220200000200 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 22220200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35056545076800).

22220200000200 is an abundant number, since it is smaller than the sum of its proper divisors (47892890153400).

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

22220200000200 is a wasteful number, since it uses less digits than its factorization.

22220200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4184 counting only the distinct ones).

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

Adding to 22220200000200 its reverse (200000202222), we get a palindrome (22420200202422).

The spelling of 22220200000200 in words is "twenty-two trillion, two hundred twenty billion, two hundred million, two hundred", and thus it is an aban number.