| Base | Representation |
|---|---|
| bin | 11010010110111… |
| … | …00100001100000 |
| 3 | 120102001020222100 |
| 4 | 31023130201200 |
| 5 | 423100313344 |
| 6 | 33535010400 |
| 7 | 5323232505 |
| oct | 1513344140 |
| 9 | 512036870 |
| 10 | 221104224 |
| 11 | 103897970 |
| 12 | 62069a00 |
| 13 | 36a66203 |
| 14 | 215174ac |
| 15 | 14627569 |
| hex | d2dc860 |
221104224 has 144 divisors (see below), whose sum is σ = 696294144. Its totient is φ = 65990400.
The previous prime is 221104217. The next prime is 221104231. The reversal of 221104224 is 422401122.
It is an interprime number because it is at equal distance from previous prime (221104217) and next prime (221104231).
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 junction number, because it is equal to n+sod(n) for n = 221104197 and 221104206.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224437 + ... + 225419.
It is an arithmetic number, because the mean of its divisors is an integer number (4835376).
Almost surely, 2221104224 is an apocalyptic number.
221104224 is a gapful number since it is divisible by the number (24) 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 221104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348147072).
221104224 is an abundant number, since it is smaller than the sum of its proper divisors (475189920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221104224 is a wasteful number, since it uses less digits than its factorization.
221104224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 221104224 is about 14869.5737665879. The cubic root of 221104224 is about 604.6893872625.
Adding to 221104224 its reverse (422401122), we get a palindrome (643505346).
The spelling of 221104224 in words is "two hundred twenty-one million, one hundred four thousand, two hundred twenty-four".
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