| Base | Representation |
|---|---|
| bin | 11010010111001… |
| … | …10100011010100 |
| 3 | 120102010100022200 |
| 4 | 31023212203110 |
| 5 | 423103122200 |
| 6 | 33535524500 |
| 7 | 5323463325 |
| oct | 1513464324 |
| 9 | 512110280 |
| 10 | 221145300 |
| 11 | 103915812 |
| 12 | 62089730 |
| 13 | 36a7bb0c |
| 14 | 2152844c |
| 15 | 14634800 |
| hex | d2e68d4 |
221145300 has 216 divisors, whose sum is σ = 739666200. Its totient is φ = 55157760.
The previous prime is 221145269. The next prime is 221145311. The reversal of 221145300 is 3541122.
221145300 is a `hidden beast` number, since 2 + 211 + 453 + 0 + 0 = 666.
221145300 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 12 ways, for example, as 266256 + 220879044 = 516^2 + 14862^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 965586 + ... + 965814.
Almost surely, 2221145300 is an apocalyptic number.
221145300 is a gapful number since it is divisible by the number (20) 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 221145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369833100).
221145300 is an abundant number, since it is smaller than the sum of its proper divisors (518520900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221145300 is a wasteful number, since it uses less digits than its factorization.
221145300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 315 (or 305 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 221145300 is about 14870.9549121770. The cubic root of 221145300 is about 604.7268306649.
Adding to 221145300 its reverse (3541122), we get a palindrome (224686422).
It can be divided in two parts, 221145 and 300, that added together give a triangular number (221445 = T665).
The spelling of 221145300 in words is "two hundred twenty-one million, one hundred forty-five thousand, three hundred".
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