Base | Representation |
---|---|
bin | 1010000110011101010010… |
… | …00011010111100011010100 |
3 | 2220122110100021200111020000 |
4 | 11003032221003113203110 |
5 | 10402410401200320040 |
6 | 115124034202011300 |
7 | 4451525562552144 |
oct | 503165103274324 |
9 | 86573307614200 |
10 | 22212112120020 |
11 | 7094116250069 |
12 | 25a8a334a6b30 |
13 | c517932c70a4 |
14 | 56b101674924 |
15 | 287bc4804130 |
hex | 1433a90d78d4 |
22212112120020 has 120 divisors (see below), whose sum is σ = 69702560504808. Its totient is φ = 5921330688000.
The previous prime is 22212112120019. The next prime is 22212112120057. The reversal of 22212112120020 is 2002121121222.
It is a happy number.
22212112120020 is a `hidden beast` number, since 2 + 221 + 211 + 212 + 0 + 0 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1482048151236 + 20730063968784 = 1217394^2 + 4553028^2 .
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 = 22212112119975 and 22212112120002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2859420 + ... + 7252620.
Almost surely, 222212112120020 is an apocalyptic number.
22212112120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22212112120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34851280252404).
22212112120020 is an abundant number, since it is smaller than the sum of its proper divisors (47490448384788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22212112120020 is a wasteful number, since it uses less digits than its factorization.
22212112120020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4396343 (or 4396332 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22212112120020 its reverse (2002121121222), we get a palindrome (24214233241242).
The spelling of 22212112120020 in words is "twenty-two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, twenty".
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