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2212100440420 = 225138508078617
BaseRepresentation
bin100000001100001011011…
…101100000000101100100
321211110211002020121011111
4200030023131200011210
5242220340203043140
64412120325314404
7315550624334023
oct40141335400544
97743732217144
102212100440420
11783168035a72
122b8877b65a04
131307a5784160
14790cda568ba
153c81d9127ea
hex2030b760164

2212100440420 has 24 divisors (see below), whose sum is σ = 5002750227384. Its totient is φ = 816775547136.

The previous prime is 2212100440379. The next prime is 2212100440489. The reversal of 2212100440420 is 240440012122.

It can be written as a sum of positive squares in 4 ways, for example, as 9155810596 + 2202944629824 = 95686^2 + 1484232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2212100440391 and 2212100440400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4254039049 + ... + 4254039568.

It is an arithmetic number, because the mean of its divisors is an integer number (208447926141).

Almost surely, 22212100440420 is an apocalyptic number.

2212100440420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212100440420 is an abundant number, since it is smaller than the sum of its proper divisors (2790649786964).

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

2212100440420 is a wasteful number, since it uses less digits than its factorization.

2212100440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508078639 (or 8508078637 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2212100440420 its reverse (240440012122), we get a palindrome (2452540452542).

The spelling of 2212100440420 in words is "two trillion, two hundred twelve billion, one hundred million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8508078617 17016157234 34032314468 42540393085 85080786170 110605022021 170161572340 221210044042 442420088084 553025110105 1106050220210 2212100440420