Base | Representation |
---|---|
bin | 1000001101000001… |
… | …1101111101101010 |
3 | 12200110200220122200 |
4 | 2003100131331222 |
5 | 14002221213310 |
6 | 1002303201030 |
7 | 105366546606 |
oct | 20320357552 |
9 | 5613626580 |
10 | 2202132330 |
11 | a30056682 |
12 | 5155a6176 |
13 | 2912ca0a8 |
14 | 16c674506 |
15 | cd4dd9c0 |
hex | 8341df6a |
2202132330 has 144 divisors (see below), whose sum is σ = 6001350264. Its totient is φ = 560079360.
The previous prime is 2202132323. The next prime is 2202132421. The reversal of 2202132330 is 332312022.
It is a happy number.
2202132330 is a `hidden beast` number, since 2 + 202 + 132 + 330 = 666.
2202132330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 1024064001 + 1178068329 = 32001^2 + 34323^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7515664 + ... + 7515956.
Almost surely, 22202132330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2202132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000675132).
2202132330 is an abundant number, since it is smaller than the sum of its proper divisors (3799217934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2202132330 is a wasteful number, since it uses less digits than its factorization.
2202132330 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 441 (or 401 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2202132330 is about 46926.8828071927. The cubic root of 2202132330 is about 1301.0115066463.
Adding to 2202132330 its reverse (332312022), we get a palindrome (2534444352).
The spelling of 2202132330 in words is "two billion, two hundred two million, one hundred thirty-two thousand, three hundred thirty".
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