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22002222022201 = 192146221416821
BaseRepresentation
bin1010000000010110010101…
…01000001011111000111001
32212220101120200102210001101
411000023022220023320321
510340441022314202301
6114443403052451401
74430415400266541
oct500131250137071
985811520383041
1022002222022201
1170130a980a003
122574217779b61
13c37a53cba435
14560cadc7c321
152824dce80701
hex1402caa0be39

22002222022201 has 12 divisors (see below), whose sum is σ = 23221396210404. Its totient is φ = 20844017776800.

The previous prime is 22002222022189. The next prime is 22002222022211. The reversal of 22002222022201 is 10222022220022.

It can be written as a sum of positive squares in 2 ways, for example, as 6001814019600 + 16000408002601 = 2449860^2 + 4000051^2 .

It is not a de Polignac number, because 22002222022201 - 213 = 22002222014009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (22002222022211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52577371 + ... + 52994191.

It is an arithmetic number, because the mean of its divisors is an integer number (1935116350867).

Almost surely, 222002222022201 is an apocalyptic number.

It is an amenable number.

22002222022201 is a deficient number, since it is larger than the sum of its proper divisors (1219174188203).

22002222022201 is a wasteful number, since it uses less digits than its factorization.

22002222022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563080 (or 563061 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 22002222022201 its reverse (10222022220022), we get a palindrome (32224244242223).

The spelling of 22002222022201 in words is "twenty-two trillion, two billion, two hundred twenty-two million, twenty-two thousand, two hundred one".

Divisors: 1 19 361 146221 416821 2778199 7919599 52785781 150472381 60947983441 1158011685379 22002222022201