Base | Representation |
---|---|
bin | 1100010010001010000100 |
3 | 20001121010222 |
4 | 30102022010 |
5 | 1311020400 |
6 | 153003512 |
7 | 36241022 |
oct | 14221204 |
9 | 6047128 |
10 | 3220100 |
11 | 18aa344 |
12 | 10b3598 |
13 | 8898b0 |
14 | 5db712 |
15 | 439185 |
hex | 312284 |
3220100 has 36 divisors (see below), whose sum is σ = 7528164. Its totient is φ = 1188480.
The previous prime is 3220097. The next prime is 3220117. The reversal of 3220100 is 10223.
3220100 = T495 + T496 + ... + T519.
It can be written as a sum of positive squares in 6 ways, for example, as 350464 + 2869636 = 592^2 + 1694^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62 + ... + 2538.
Almost surely, 23220100 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 3220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764082).
3220100 is an abundant number, since it is smaller than the sum of its proper divisors (4308064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3220100 is a wasteful number, since it uses less digits than its factorization.
3220100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2504 (or 2497 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
The square root of 3220100 is about 1794.4637081869. The cubic root of 3220100 is about 147.6691538278.
Adding to 3220100 its reverse (10223), we get a palindrome (3230323).
The spelling of 3220100 in words is "three million, two hundred twenty thousand, one hundred".
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