Base | Representation |
---|---|
bin | 10011101010111110… |
… | …111000011111000110 |
3 | 2000112001012001110100 |
4 | 103222332320133012 |
5 | 321224242101042 |
6 | 13411534304530 |
7 | 1345266632136 |
oct | 235276703706 |
9 | 60461161410 |
10 | 21122222022 |
11 | 8a59a42040 |
12 | 4115958146 |
13 | 1cb8039235 |
14 | 104536aac6 |
15 | 83954124c |
hex | 4eafb87c6 |
21122222022 has 96 divisors (see below), whose sum is σ = 50471216640. Its totient is φ = 6331066560.
The previous prime is 21122221973. The next prime is 21122222057. The reversal of 21122222022 is 22022222112.
It is a super-2 number, since 2×211222220222 (a number of 21 digits) contains 22 as substring.
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 = 21122221986 and 21122222004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7428133 + ... + 7430975.
It is an arithmetic number, because the mean of its divisors is an integer number (525741840).
Almost surely, 221122222022 is an apocalyptic number.
21122222022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 21122222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235608320).
21122222022 is an abundant number, since it is smaller than the sum of its proper divisors (29348994618).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21122222022 is a wasteful number, since it uses less digits than its factorization.
21122222022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3258 (or 3255 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 21122222022 its reverse (22022222112), we get a palindrome (43144444134).
The spelling of 21122222022 in words is "twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty-two".
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