Base | Representation |
---|---|
bin | 111100010001010… |
… | …0100111011110100 |
3 | 12012221101000100211 |
4 | 1320202210323310 |
5 | 13120204030400 |
6 | 532401315204 |
7 | 101054344060 |
oct | 17042447364 |
9 | 5187330324 |
10 | 2022330100 |
11 | 94860959a |
12 | 485335b04 |
13 | 262c9523b |
14 | 15282caa0 |
15 | bc823dba |
hex | 788a4ef4 |
2022330100 has 72 divisors (see below), whose sum is σ = 5122172160. Its totient is φ = 678606720.
The previous prime is 2022330097. The next prime is 2022330139. The reversal of 2022330100 is 10332202.
It is a happy number.
2022330100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
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, 2166 + ... + 63634.
It is an arithmetic number, because the mean of its divisors is an integer number (71141280).
Almost surely, 22022330100 is an apocalyptic number.
2022330100 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 2022330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561086080).
2022330100 is an abundant number, since it is smaller than the sum of its proper divisors (3099842060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022330100 is a wasteful number, since it uses less digits than its factorization.
2022330100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 61537 (or 61530 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 2022330100 is about 44970.3246597131. The cubic root of 2022330100 is about 1264.5927334398.
Adding to 2022330100 its reverse (10332202), we get a palindrome (2032662302).
The spelling of 2022330100 in words is "two billion, twenty-two million, three hundred thirty thousand, one hundred".
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