Base | Representation |
---|---|
bin | 11010010110011… |
… | …10101010001010 |
3 | 120101221101002000 |
4 | 31023032222022 |
5 | 423042004214 |
6 | 33533451430 |
7 | 5322605106 |
oct | 1513165212 |
9 | 511841060 |
10 | 221047434 |
11 | 103859233 |
12 | 62040b76 |
13 | 36a463ca |
14 | 21500906 |
15 | 14615809 |
hex | d2cea8a |
221047434 has 64 divisors (see below), whose sum is σ = 524620800. Its totient is φ = 68823216.
The previous prime is 221047433. The next prime is 221047507. The reversal of 221047434 is 434740122.
221047434 is a `hidden beast` number, since 221 + 0 + 4 + 7 + 434 = 666.
221047434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 221047398 and 221047407.
It is not an unprimeable number, because it can be changed into a prime (221047433) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51337 + ... + 55475.
It is an arithmetic number, because the mean of its divisors is an integer number (8197200).
Almost surely, 2221047434 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221047434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262310400).
221047434 is an abundant number, since it is smaller than the sum of its proper divisors (303573366).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221047434 is a wasteful number, since it uses less digits than its factorization.
221047434 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4216 (or 4210 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 27.
The square root of 221047434 is about 14867.6640397878. The cubic root of 221047434 is about 604.6376119049.
Adding to 221047434 its reverse (434740122), we get a palindrome (655787556).
The spelling of 221047434 in words is "two hundred twenty-one million, forty-seven thousand, four hundred thirty-four".
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