| Base | Representation |
|---|---|
| bin | 1100111000111001101… |
| … | …1111000000111111100 |
| 3 | 210011120001021010102101 |
| 4 | 3032032123320013330 |
| 5 | 12111443322121130 |
| 6 | 245420325434444 |
| 7 | 21666213324466 |
| oct | 3161633700774 |
| 9 | 704501233371 |
| 10 | 221433004540 |
| 11 | 85a001817a0 |
| 12 | 36ab956ba24 |
| 13 | 17b5b85cc97 |
| 14 | aa0882b136 |
| 15 | 5b5ee041ca |
| hex | 338e6f81fc |
221433004540 has 96 divisors (see below), whose sum is σ = 534139200000. Its totient is φ = 76260683520.
The previous prime is 221433004523. The next prime is 221433004547. The reversal of 221433004540 is 45400334122.
It is a happy number.
It is a super-2 number, since 2×2214330045402 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 221433004499 and 221433004508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221433004547) 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, 20890522 + ... + 20901118.
It is an arithmetic number, because the mean of its divisors is an integer number (5563950000).
Almost surely, 2221433004540 is an apocalyptic number.
221433004540 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 221433004540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267069600000).
221433004540 is an abundant number, since it is smaller than the sum of its proper divisors (312706195460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221433004540 is a wasteful number, since it uses less digits than its factorization.
221433004540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15635 (or 15633 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 28.
Adding to 221433004540 its reverse (45400334122), we get a palindrome (266833338662).
It can be divided in two parts, 22143300 and 4540, that added together give a triangular number (22147840 = T6655).
The spelling of 221433004540 in words is "two hundred twenty-one billion, four hundred thirty-three million, four thousand, five hundred forty".
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