| Base | Representation |
|---|---|
| bin | 11001100010010… |
| … | …01111010000000 |
| 3 | 112221002002221002 |
| 4 | 30301021322000 |
| 5 | 414314242344 |
| 6 | 33131151132 |
| 7 | 5210526302 |
| oct | 1461117200 |
| 9 | 487062832 |
| 10 | 214212224 |
| 11 | aaa0a8a6 |
| 12 | 5b8a54a8 |
| 13 | 354c21c5 |
| 14 | 20641972 |
| 15 | 13c1544e |
| hex | cc49e80 |
214212224 has 32 divisors (see below), whose sum is σ = 429615840. Its totient is φ = 106387200.
The previous prime is 214212209. The next prime is 214212227. The reversal of 214212224 is 422212412.
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-2 number, since 2×2142122242 = 91773753822052352, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 214212196 and 214212205.
It is not an unprimeable number, because it can be changed into a prime (214212227) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 13787 + ... + 24869.
It is an arithmetic number, because the mean of its divisors is an integer number (13425495).
Almost surely, 2214212224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 214212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214807920).
214212224 is an abundant number, since it is smaller than the sum of its proper divisors (215403616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214212224 is a wasteful number, since it uses less digits than its factorization.
214212224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11248 (or 11236 counting only the distinct ones).
The product of its digits is 512, while the sum is 20.
The square root of 214212224 is about 14635.9907078407. The cubic root of 214212224 is about 598.3400637730.
Adding to 214212224 its reverse (422212412), we get a palindrome (636424636).
The spelling of 214212224 in words is "two hundred fourteen million, two hundred twelve thousand, two hundred twenty-four".
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