Base | Representation |
---|---|
bin | 11110110110100111001… |
… | …001010110001100001110 |
3 | 21111200122222212020120100 |
4 | 132312213021112030032 |
5 | 234214204104402230 |
6 | 4302003403431530 |
7 | 306116051116335 |
oct | 36664711261416 |
9 | 7450588766510 |
10 | 2120223122190 |
11 | 7481aa750a08 |
12 | 2a2ab65255a6 |
13 | 124c22a402b4 |
14 | 748956b6d1c |
15 | 3a242858660 |
hex | 1eda725630e |
2120223122190 has 96 divisors (see below), whose sum is σ = 5584192604640. Its totient is φ = 558070013952.
The previous prime is 2120223122177. The next prime is 2120223122191. The reversal of 2120223122190 is 912213220212.
2120223122190 is a `hidden beast` number, since 2 + 1 + 202 + 231 + 221 + 9 + 0 = 666.
It is a super-2 number, since 2×21202231221902 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2120223122191) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4392397 + ... + 4851143.
It is an arithmetic number, because the mean of its divisors is an integer number (58168672965).
Almost surely, 22120223122190 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2120223122190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792096302320).
2120223122190 is an abundant number, since it is smaller than the sum of its proper divisors (3463969482450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120223122190 is a wasteful number, since it uses less digits than its factorization.
2120223122190 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 459426 (or 459423 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The spelling of 2120223122190 in words is "two trillion, one hundred twenty billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred ninety".
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