Base | Representation |
---|---|
bin | 11101011011010101001… |
… | …011001110101110100000 |
3 | 21011022200100222122200100 |
4 | 131123111023032232200 |
5 | 231112442021320112 |
6 | 4144554014222400 |
7 | 266046163624035 |
oct | 35332513165640 |
9 | 7138610878610 |
10 | 2022211120032 |
11 | 70a684505034 |
12 | 287b024b4a00 |
13 | 118903064c4c |
14 | 6dc386a938c |
15 | 37907e102dc |
hex | 1d6d52ceba0 |
2022211120032 has 144 divisors (see below), whose sum is σ = 6120488916360. Its totient is φ = 631131734016.
The previous prime is 2022211119979. The next prime is 2022211120067. The reversal of 2022211120032 is 2300211122202.
2022211120032 is a `hidden beast` number, since 202 + 221 + 11 + 200 + 32 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1789698137616 + 232512982416 = 1337796^2 + 482196^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 = 2022211119987 and 2022211120014.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125107 + ... + 2014962.
Almost surely, 22022211120032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2022211120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060244458180).
2022211120032 is an abundant number, since it is smaller than the sum of its proper divisors (4098277796328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022211120032 is a wasteful number, since it uses less digits than its factorization.
2022211120032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2140295 (or 2140284 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2022211120032 its reverse (2300211122202), we get a palindrome (4322422242234).
The spelling of 2022211120032 in words is "two trillion, twenty-two billion, two hundred eleven million, one hundred twenty thousand, thirty-two".
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