Base | Representation |
---|---|
bin | 101010010111… |
… | …1010000100000 |
3 | 1112210120102022 |
4 | 1110233100200 |
5 | 21141314124 |
6 | 2112041012 |
7 | 356545604 |
oct | 124572040 |
9 | 45716368 |
10 | 22213664 |
11 | 115a2500 |
12 | 7533168 |
13 | 47a9ba5 |
14 | 2d43504 |
15 | 1e3bc5e |
hex | 152f420 |
22213664 has 36 divisors (see below), whose sum is σ = 48078702. Its totient is φ = 10095360.
The previous prime is 22213663. The next prime is 22213673. The reversal of 22213664 is 46631222.
It can be written as a sum of positive squares in only one way, i.e., 22165264 + 48400 = 4708^2 + 220^2 .
It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (22213661) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1004 + ... + 6740.
Almost surely, 222213664 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24039351).
22213664 is an abundant number, since it is smaller than the sum of its proper divisors (25865038).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22213664 is a wasteful number, since it uses less digits than its factorization.
22213664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5769 (or 5750 counting only the distinct ones).
The product of its digits is 3456, while the sum is 26.
The square root of 22213664 is about 4713.1373839514. The cubic root of 22213664 is about 281.1081257122.
Adding to 22213664 its reverse (46631222), we get a palindrome (68844886).
It can be divided in two parts, 2221 and 3664, that added together give a palindrome (5885).
The spelling of 22213664 in words is "twenty-two million, two hundred thirteen thousand, six hundred sixty-four".
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