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22012012022200 = 235217137169727847
BaseRepresentation
bin1010000000101000100100…
…01010000100100110111000
32212221022211222001022022221
411000110102022010212320
510341121100034202300
6114452102334253424
74431213115024564
oct500242212044670
985838758038287
1022012012022200
117017272a309a2
1225760aa357274
13c3895432ba45
1456155c1786a4
152828b26ab31a
hex1405122849b8

22012012022200 has 192 divisors, whose sum is σ = 54618056274240. Its totient is φ = 8221244129280.

The previous prime is 22012012022173. The next prime is 22012012022227. The reversal of 22012012022200 is 222021021022.

It is an interprime number because it is at equal distance from previous prime (22012012022173) and next prime (22012012022227).

It is a congruent number.

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, 790448677 + ... + 790476523.

It is an arithmetic number, because the mean of its divisors is an integer number (284469043095).

Almost surely, 222012012022200 is an apocalyptic number.

22012012022200 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 22012012022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27309028137120).

22012012022200 is an abundant number, since it is smaller than the sum of its proper divisors (32606044252040).

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

22012012022200 is a wasteful number, since it uses less digits than its factorization.

22012012022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29714 (or 29705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22012012022200 its reverse (222021021022), we get a palindrome (22234033043222).

The spelling of 22012012022200 in words is "twenty-two trillion, twelve billion, twelve million, twenty-two thousand, two hundred".