Base | Representation |
---|---|
bin | 101010011101… |
… | …1100110110010 |
3 | 1112220010210120 |
4 | 1110323212302 |
5 | 21144423432 |
6 | 2113111110 |
7 | 360146220 |
oct | 124734662 |
9 | 45803716 |
10 | 22264242 |
11 | 11627500 |
12 | 7558496 |
13 | 47c6c10 |
14 | 2d57b10 |
15 | 1e4bc2c |
hex | 153b9b2 |
22264242 has 96 divisors (see below), whose sum is σ = 60418176. Its totient is φ = 5322240.
The previous prime is 22264241. The next prime is 22264261. The reversal of 22264242 is 24246222.
Its product of digits (3072) is a multiple of the sum of its prime factors (384).
22264242 is a modest number, since divided by 4242 gives 2226 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22264241) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65898 + ... + 66234.
It is an arithmetic number, because the mean of its divisors is an integer number (629356).
Almost surely, 222264242 is an apocalyptic number.
22264242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a pronic number, being equal to 4718×4719.
It is a practical number, because each smaller number is the sum of distinct divisors of 22264242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30209088).
22264242 is an abundant number, since it is smaller than the sum of its proper divisors (38153934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22264242 is a wasteful number, since it uses less digits than its factorization.
22264242 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 384 (or 373 counting only the distinct ones).
The product of its digits is 3072, while the sum is 24.
The square root of 22264242 is about 4718.4999735085. The cubic root of 22264242 is about 281.3213144590.
The spelling of 22264242 in words is "twenty-two million, two hundred sixty-four thousand, two hundred forty-two".
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