Base | Representation |
---|---|
bin | 1100011000000101… |
… | …0110010000110100 |
3 | 22120112101101101201 |
4 | 3012001112100310 |
5 | 23300443221400 |
6 | 1305355102244 |
7 | 145220410012 |
oct | 30601262064 |
9 | 8515341351 |
10 | 3322242100 |
11 | 1455356731 |
12 | 788741984 |
13 | 40c39c138 |
14 | 2373298b2 |
15 | 1469e806a |
hex | c6056434 |
3322242100 has 72 divisors (see below), whose sum is σ = 7457522688. Its totient is φ = 1283318400.
The previous prime is 3322242083. The next prime is 3322242109. The reversal of 3322242100 is 12422233.
It is a super-2 number, since 2×33222421002 = 22074585142024820000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3322242109) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097909 + ... + 2099491.
It is an arithmetic number, because the mean of its divisors is an integer number (103576704).
Almost surely, 23322242100 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3322242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728761344).
3322242100 is an abundant number, since it is smaller than the sum of its proper divisors (4135280588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3322242100 is a wasteful number, since it uses less digits than its factorization.
3322242100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 19.
The square root of 3322242100 is about 57638.8939866129. The cubic root of 3322242100 is about 1492.1429309843.
Adding to 3322242100 its reverse (12422233), we get a palindrome (3334664333).
The spelling of 3322242100 in words is "three billion, three hundred twenty-two million, two hundred forty-two thousand, one hundred".
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