| Base | Representation |
|---|---|
| bin | 11010011001010… |
| … | …01111110000000 |
| 3 | 120102122101010002 |
| 4 | 31030221332000 |
| 5 | 423140441230 |
| 6 | 33545455132 |
| 7 | 5326023362 |
| oct | 1514517600 |
| 9 | 512571102 |
| 10 | 221421440 |
| 11 | 103a94229 |
| 12 | 621a14a8 |
| 13 | 36b47706 |
| 14 | 2159ad32 |
| 15 | 1468b545 |
| hex | d329f80 |
221421440 has 128 divisors (see below), whose sum is σ = 565488000. Its totient is φ = 82667520.
The previous prime is 221421419. The next prime is 221421461. The reversal of 221421440 is 44124122.
It is an interprime number because it is at equal distance from previous prime (221421419) and next prime (221421461).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592891 + ... + 1593029.
It is an arithmetic number, because the mean of its divisors is an integer number (4417875).
Almost surely, 2221421440 is an apocalyptic number.
221421440 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 221421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282744000).
221421440 is an abundant number, since it is smaller than the sum of its proper divisors (344066560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221421440 is a wasteful number, since it uses less digits than its factorization.
221421440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 308 (or 296 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 221421440 is about 14880.2365572594. The cubic root of 221421440 is about 604.9784296660.
Adding to 221421440 its reverse (44124122), we get a palindrome (265545562).
The spelling of 221421440 in words is "two hundred twenty-one million, four hundred twenty-one thousand, four hundred forty".
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