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20222002220200 = 235211431451914723
BaseRepresentation
bin1001001100100010011010…
…10000100100110010101000
32122121012112002210210011121
410212101031100210302220
510122304130032021300
6111001505400105024
74154664031532314
oct446211520446250
978535462723147
1020222002220200
1164971150809a0
1223271ab765174
13b38c07a51601
144dca704dab44
15251049c2681a
hex12644d424ca8

20222002220200 has 192 divisors, whose sum is σ = 52490329689600. Its totient is φ = 7181462265600.

The previous prime is 20222002220149. The next prime is 20222002220269. The reversal of 20222002220200 is 202220022202.

It is a happy number.

It is an unprimeable number.

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, 1373490039 + ... + 1373504761.

It is an arithmetic number, because the mean of its divisors is an integer number (273387133800).

Almost surely, 220222002220200 is an apocalyptic number.

20222002220200 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 20222002220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26245164844800).

20222002220200 is an abundant number, since it is smaller than the sum of its proper divisors (32268327469400).

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

20222002220200 is a wasteful number, since it uses less digits than its factorization.

20222002220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29312 (or 29303 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20222002220200 its reverse (202220022202), we get a palindrome (20424222242402).

20222002220200 divided by its reverse (202220022202) gives a square (100 = 102).

The spelling of 20222002220200 in words is "twenty trillion, two hundred twenty-two billion, two million, two hundred twenty thousand, two hundred".