Base | Representation |
---|---|
bin | 11000000110110… |
… | …10101010100010 |
3 | 112002111221202200 |
4 | 30003122222202 |
5 | 403232102432 |
6 | 32022154030 |
7 | 5003601135 |
oct | 1403325242 |
9 | 462457680 |
10 | 202222242 |
11 | a4170622 |
12 | 57882916 |
13 | 32b84941 |
14 | 1cc0021c |
15 | 12b47a7c |
hex | c0daaa2 |
202222242 has 96 divisors (see below), whose sum is σ = 486890352. Its totient is φ = 60383232.
The previous prime is 202222217. The next prime is 202222243. The reversal of 202222242 is 242222202.
It is a happy number.
202222242 is a `hidden beast` number, since 202 + 222 + 242 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 169286121 + 32936121 = 13011^2 + 5739^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (202222243) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599898 + ... + 600234.
Almost surely, 2202222242 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202222242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243445176).
202222242 is an abundant number, since it is smaller than the sum of its proper divisors (284668110).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202222242 is a wasteful number, since it uses less digits than its factorization.
202222242 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 452 (or 449 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 202222242 is about 14220.4867005317. The cubic root of 202222242 is about 586.9615330014.
Adding to 202222242 its reverse (242222202), we get a palindrome (444444444).
The spelling of 202222242 in words is "two hundred two million, two hundred twenty-two thousand, two hundred forty-two".
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