| Base | Representation |
|---|---|
| bin | 11010010111000… |
| … | …00111100010000 |
| 3 | 120102002011210120 |
| 4 | 31023200330100 |
| 5 | 423101403240 |
| 6 | 33535230240 |
| 7 | 5323336326 |
| oct | 1513407420 |
| 9 | 512064716 |
| 10 | 221122320 |
| 11 | 1038aa521 |
| 12 | 62078380 |
| 13 | 36a71513 |
| 14 | 2151dd16 |
| 15 | 1462cad0 |
| hex | d2e0f10 |
221122320 has 80 divisors (see below), whose sum is σ = 688503552. Its totient is φ = 58705920.
The previous prime is 221122309. The next prime is 221122331. The reversal of 221122320 is 23221122.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (221122309) and next prime (221122331).
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 221122320.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55929 + ... + 59751.
Almost surely, 2221122320 is an apocalyptic number.
221122320 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 221122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344251776).
221122320 is an abundant number, since it is smaller than the sum of its proper divisors (467381232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221122320 is a wasteful number, since it uses less digits than its factorization.
221122320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4080 (or 4074 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 221122320 is about 14870.1822450164. The cubic root of 221122320 is about 604.7058834959.
Adding to 221122320 its reverse (23221122), we get a palindrome (244343442).
It can be divided in two parts, 2211 and 22320, that added together give a triangular number (24531 = T221).
The spelling of 221122320 in words is "two hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".
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