Base | Representation |
---|---|
bin | 11010011111111… |
… | …10010110000000 |
3 | 120111021120101011 |
4 | 31033332112000 |
5 | 423401310303 |
6 | 34020250304 |
7 | 5336305450 |
oct | 1517762600 |
9 | 514246334 |
10 | 222291328 |
11 | 104528846 |
12 | 62540994 |
13 | 3709063c |
14 | 21745d60 |
15 | 147ae16d |
hex | d3fe580 |
222291328 has 128 divisors (see below), whose sum is σ = 535818240. Its totient is φ = 89856000.
The previous prime is 222291313. The next prime is 222291331. The reversal of 222291328 is 823192222.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (31).
Its product of digits (6912) is a multiple of the sum of its prime factors (256).
It is a self number, because there is not a number n which added to its sum of digits gives 222291328.
It is a congruent number.
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, 1472053 + ... + 1472203.
It is an arithmetic number, because the mean of its divisors is an integer number (4186080).
Almost surely, 2222291328 is an apocalyptic number.
222291328 is a gapful number since it is divisible by the number (28) 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 222291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267909120).
222291328 is an abundant number, since it is smaller than the sum of its proper divisors (313526912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222291328 is a wasteful number, since it uses less digits than its factorization.
222291328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 244 counting only the distinct ones).
The product of its digits is 6912, while the sum is 31.
The square root of 222291328 is about 14909.4375480767. The cubic root of 222291328 is about 605.7696445361.
The spelling of 222291328 in words is "two hundred twenty-two million, two hundred ninety-one thousand, three hundred twenty-eight".
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