Base | Representation |
---|---|
bin | 100001010100111101101… |
… | …011101101001011000100 |
3 | 22002221112122000022220101 |
4 | 201110331223231023010 |
5 | 300010414110424124 |
6 | 4512043310013444 |
7 | 324315406335100 |
oct | 41247553551304 |
9 | 8087478008811 |
10 | 2290252436164 |
11 | 803321880100 |
12 | 30ba48aa7284 |
13 | 137c7ba8c014 |
14 | 7cbc51c0900 |
15 | 3e894a44644 |
hex | 2153daed2c4 |
2290252436164 has 243 divisors, whose sum is σ = 5312078393517. Its totient is φ = 860798030400.
The previous prime is 2290252436161. The next prime is 2290252436221. The reversal of 2290252436164 is 4616342520922.
It is a happy number.
The square root of 2290252436164 is 1513358.
It is a perfect power (a square), and thus also a powerful number.
2290252436164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 128199802500 + 2162052633664 = 358050^2 + 1470392^2 .
It is not an unprimeable number, because it can be changed into a prime (2290252436161) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7224770934 + ... + 7224771250.
Almost surely, 22290252436164 is an apocalyptic number.
2290252436164 is the 1513358-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2290252436164
2290252436164 is an abundant number, since it is smaller than the sum of its proper divisors (3021825957353).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2290252436164 is a wasteful number, since it uses less digits than its factorization.
2290252436164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 736 (or 368 counting only the distinct ones).
The product of its (nonzero) digits is 1244160, while the sum is 46.
The spelling of 2290252436164 in words is "two trillion, two hundred ninety billion, two hundred fifty-two million, four hundred thirty-six thousand, one hundred sixty-four".
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