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22002000201 = 322444666689
BaseRepresentation
bin10100011111011010…
…111110000101001001
32002210100122102020100
4110133122332011021
5330030003001301
614035123120013
71406141626116
oct243732760511
962710572210
1022002000201
119370612445
124320513009
1320c83a253c
1410ca14190d
1588b8c6286
hex51f6be149

22002000201 has 6 divisors (see below), whose sum is σ = 31780666970. Its totient is φ = 14668000128.

The previous prime is 22002000157. The next prime is 22002000289. The reversal of 22002000201 is 10200020022.

It can be written as a sum of positive squares in only one way, i.e., 11805039801 + 10196960400 = 108651^2 + 100980^2 .

It is not a de Polignac number, because 22002000201 - 27 = 22002000073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2444666689 = 22002000201 / (2 + 2 + 0 + 0 + 2 + 0 + 0 + 0 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22002000101) 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 5 ways as a sum of consecutive naturals, for example, 1222333336 + ... + 1222333353.

Almost surely, 222002000201 is an apocalyptic number.

It is an amenable number.

22002000201 is a deficient number, since it is larger than the sum of its proper divisors (9778666769).

22002000201 is a wasteful number, since it uses less digits than its factorization.

22002000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444666695 (or 2444666692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22002000201 its reverse (10200020022), we get a palindrome (32202020223).

The spelling of 22002000201 in words is "twenty-two billion, two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 2444666689 7334000067 22002000201