| Base | Representation |
|---|---|
| bin | 11010011010000… |
| … | …00001010010100 |
| 3 | 120102210222210202 |
| 4 | 31031000022110 |
| 5 | 423201343330 |
| 6 | 33551440032 |
| 7 | 5326552400 |
| oct | 1515001224 |
| 9 | 512728722 |
| 10 | 221512340 |
| 11 | 104046555 |
| 12 | 62226018 |
| 13 | 36b79bba |
| 14 | 215c2100 |
| 15 | 146a8445 |
| hex | d340294 |
221512340 has 144 divisors (see below), whose sum is σ = 573123600. Its totient is φ = 71608320.
The previous prime is 221512331. The next prime is 221512349. The reversal of 221512340 is 43215122.
It is an interprime number because it is at equal distance from previous prime (221512331) and next prime (221512349).
It can be written as a sum of positive squares in 8 ways, for example, as 25120144 + 196392196 = 5012^2 + 14014^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221512349) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486586 + ... + 1486734.
It is an arithmetic number, because the mean of its divisors is an integer number (3980025).
Almost surely, 2221512340 is an apocalyptic number.
221512340 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 221512340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286561800).
221512340 is an abundant number, since it is smaller than the sum of its proper divisors (351611260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221512340 is a wasteful number, since it uses less digits than its factorization.
221512340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 250 (or 241 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 221512340 is about 14883.2906307711. The cubic root of 221512340 is about 605.0612054737.
Adding to 221512340 its reverse (43215122), we get a palindrome (264727462).
The spelling of 221512340 in words is "two hundred twenty-one million, five hundred twelve thousand, three hundred forty".
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