| Base | Representation |
|---|---|
| bin | 11010100000111… |
| … | …10010110000000 |
| 3 | 120111112020011200 |
| 4 | 31100132112000 |
| 5 | 423420004100 |
| 6 | 34023141200 |
| 7 | 5340362544 |
| oct | 1520362600 |
| 9 | 514466150 |
| 10 | 222422400 |
| 11 | 104608272 |
| 12 | 625a4800 |
| 13 | 371081b5 |
| 14 | 2177ba24 |
| 15 | 147d7e00 |
| hex | d41e580 |
222422400 has 144 divisors (see below), whose sum is σ = 793756860. Its totient is φ = 59304960.
The previous prime is 222422383. The next prime is 222422491. The reversal of 222422400 is 4224222.
222422400 is a `hidden beast` number, since 22 + 242 + 2 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24939 + ... + 32661.
Almost surely, 2222422400 is an apocalyptic number.
222422400 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 222422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396878430).
222422400 is an abundant number, since it is smaller than the sum of its proper divisors (571334460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222422400 is a wasteful number, since it uses less digits than its factorization.
222422400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7753 (or 7733 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 222422400 is about 14913.8325054293. The cubic root of 222422400 is about 605.8886832752. Note that the first 3 decimals are identical.
Adding to 222422400 its reverse (4224222), we get a palindrome (226646622).
It can be divided in two parts, 22242 and 2400, that added together give a palindrome (24642).
The spelling of 222422400 in words is "two hundred twenty-two million, four hundred twenty-two thousand, four hundred".
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