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221020210220022 = 232113108662836883
BaseRepresentation
bin110010010000010001000111…
…000111100100101111110110
31001222120022210110121112121200
4302100101013013210233312
5212432143342304020042
62102023141033153330
764361116564203633
oct6220210707445766
91058508713545550
10221020210220022
1164473165758754
122095724525b846
13964316893b105
143c8161449318a
151a84399acec4c
hexc904471e4bf6

221020210220022 has 24 divisors (see below), whose sum is σ = 483114972786264. Its totient is φ = 73021426384704.

The previous prime is 221020210220009. The next prime is 221020210220081. The reversal of 221020210220022 is 220022012020122.

221020210220022 is a `hidden beast` number, since 2 + 210 + 2 + 0 + 210 + 220 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221020210219977 and 221020210220004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54331416408 + ... + 54331420475.

It is an arithmetic number, because the mean of its divisors is an integer number (20129790532761).

Almost surely, 2221020210220022 is an apocalyptic number.

221020210220022 is an abundant number, since it is smaller than the sum of its proper divisors (262094762566242).

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

221020210220022 is a wasteful number, since it uses less digits than its factorization.

221020210220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108662837004 (or 108662837001 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221020210220022 its reverse (220022012020122), we get a palindrome (441042222240144).

The spelling of 221020210220022 in words is "two hundred twenty-one trillion, twenty billion, two hundred ten million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 108662836883 217325673766 325988510649 651977021298 977965531947 1955931063894 12278900567779 24557801135558 36836701703337 73673403406674 110510105110011 221020210220022