Base | Representation |
---|---|
bin | 100111010100101011… |
… | …011001100011100100 |
3 | 11000222120202010122100 |
4 | 213110223121203210 |
5 | 1142433022233244 |
6 | 31221422132100 |
7 | 3023215215552 |
oct | 472453314344 |
9 | 130876663570 |
10 | 42222852324 |
11 | 169a7776984 |
12 | 8224421030 |
13 | 3c9b7556b3 |
14 | 20878b6bd2 |
15 | 1171c19b69 |
hex | 9d4ad98e4 |
42222852324 has 81 divisors (see below), whose sum is σ = 111647161353. Its totient is φ = 13453317504.
The previous prime is 42222852311. The next prime is 42222852359. The reversal of 42222852324 is 42325822224.
The square root of 42222852324 is 205482.
It is a perfect power (a square), and thus also a powerful number.
42222852324 is a `hidden beast` number, since 422 + 228 + 5 + 2 + 3 + 2 + 4 = 666.
42222852324 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., 9040586724 + 33182265600 = 95082^2 + 182160^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28355772 + ... + 28357260.
Almost surely, 242222852324 is an apocalyptic number.
42222852324 is the 205482-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42222852324
42222852324 is an abundant number, since it is smaller than the sum of its proper divisors (69424309029).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42222852324 is a wasteful number, since it uses less digits than its factorization.
42222852324 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3034 (or 1517 counting only the distinct ones).
The product of its digits is 122880, while the sum is 36.
Multiplying 42222852324 by its sum of digits (36), we get a square (1520022683664 = 12328922).
42222852324 divided by its sum of digits (36) gives a square (1172857009 = 342472).
It can be divided in two parts, 422228 and 52324, that added together give a cube (474552 = 783).
The spelling of 42222852324 in words is "forty-two billion, two hundred twenty-two million, eight hundred fifty-two thousand, three hundred twenty-four".
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