Base | Representation |
---|---|
bin | 11010011110010… |
… | …11010010110000 |
3 | 120110212221112120 |
4 | 31033023102300 |
5 | 423323112344 |
6 | 34011554240 |
7 | 5334445020 |
oct | 1517132260 |
9 | 513787476 |
10 | 222082224 |
11 | 1043a5731 |
12 | 6245b980 |
13 | 37019400 |
14 | 216cda80 |
15 | 1476c219 |
hex | d3cb4b0 |
222082224 has 120 divisors (see below), whose sum is σ = 710168832. Its totient is φ = 58556160.
The previous prime is 222082219. The next prime is 222082253. The reversal of 222082224 is 422280222.
222082224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 222082194 and 222082203.
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, 54829 + ... + 58739.
Almost surely, 2222082224 is an apocalyptic number.
222082224 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 222082224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355084416).
222082224 is an abundant number, since it is smaller than the sum of its proper divisors (488086608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222082224 is a wasteful number, since it uses less digits than its factorization.
222082224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3955 (or 3936 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
The square root of 222082224 is about 14902.4234270806. The cubic root of 222082224 is about 605.5796407308.
The spelling of 222082224 in words is "two hundred twenty-two million, eighty-two thousand, two hundred twenty-four".
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