| Base | Representation |
|---|---|
| bin | 11010010011110… |
| … | …01110110100000 |
| 3 | 120101021201120110 |
| 4 | 31021321312200 |
| 5 | 422444400224 |
| 6 | 33522211320 |
| 7 | 5316630264 |
| oct | 1511716640 |
| 9 | 511251513 |
| 10 | 220700064 |
| 11 | 103641252 |
| 12 | 61ab3b40 |
| 13 | 36954270 |
| 14 | 214500a4 |
| 15 | 14597929 |
| hex | d279da0 |
220700064 has 96 divisors (see below), whose sum is σ = 631229760. Its totient is φ = 67110912.
The previous prime is 220700047. The next prime is 220700083. The reversal of 220700064 is 460007022.
It is a happy number.
220700064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 220700064.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110079 + ... + 112065.
It is an arithmetic number, because the mean of its divisors is an integer number (6575310).
Almost surely, 2220700064 is an apocalyptic number.
220700064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 220700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315614880).
220700064 is an abundant number, since it is smaller than the sum of its proper divisors (410529696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220700064 is a wasteful number, since it uses less digits than its factorization.
220700064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 21.
The square root of 220700064 is about 14855.9773828584. The cubic root of 220700064 is about 604.3207220260.
Adding to 220700064 its product of nonzero digits (672), we get a square (220700736 = 148562).
Adding to 220700064 its reverse (460007022), we get a palindrome (680707086).
The spelling of 220700064 in words is "two hundred twenty million, seven hundred thousand, sixty-four".
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