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220201022002212 = 223222301332742749
BaseRepresentation
bin110010000100010110001011…
…101100100001010000100100
31001212200000022211110100012100
4302010112023230201100210
5212330233143113032322
62100154541502452100
764244666413222626
oct6204261354412044
91055600284410170
10220201022002212
1164187802322a09
1220844524894030
1395b3b37533804
143c53b0199ac16
151a6ce01e74dac
hexc8458bb21424

220201022002212 has 36 divisors (see below), whose sum is σ = 556619702593500. Its totient is φ = 73400280992832.

The previous prime is 220201022002187. The next prime is 220201022002223. The reversal of 220201022002212 is 212200220102022.

220201022002212 is a `hidden beast` number, since 2 + 20 + 201 + 0 + 220 + 0 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88918374559716 + 131282647442496 = 9429654^2 + 11457864^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78913414 + ... + 81656162.

It is an arithmetic number, because the mean of its divisors is an integer number (15461658405375).

Almost surely, 2220201022002212 is an apocalyptic number.

It is an amenable number.

220201022002212 is an abundant number, since it is smaller than the sum of its proper divisors (336418680591288).

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

220201022002212 is a wasteful number, since it uses less digits than its factorization.

220201022002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972892 (or 4972887 counting only the distinct ones).

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

Adding to 220201022002212 its reverse (212200220102022), we get a palindrome (432401242104234).

The spelling of 220201022002212 in words is "two hundred twenty trillion, two hundred one billion, twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2230133 2742749 4460266 5485498 6690399 8228247 8920532 10970996 13380798 16456494 20071197 24684741 26761596 32912988 40142394 49369482 80284788 98738964 6116695055617 12233390111234 18350085166851 24466780222468 36700170333702 55050255500553 73400340667404 110100511001106 220201022002212