Base | Representation |
---|---|
bin | 101001111111… |
… | …0001000000000 |
3 | 1112102100100200 |
4 | 1103332020000 |
5 | 21113344131 |
6 | 2103445200 |
7 | 355050066 |
oct | 123761000 |
9 | 45370320 |
10 | 22012416 |
11 | 11475288 |
12 | 7456800 |
13 | 47393ca |
14 | 2cd0036 |
15 | 1dec2e6 |
hex | 14fe200 |
22012416 has 120 divisors (see below), whose sum is σ = 67505724. Its totient is φ = 6881280.
The previous prime is 22012411. The next prime is 22012427. The reversal of 22012416 is 61421022.
It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 1218816 = 4560^2 + 1104^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22012411) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78196 + ... + 78476.
Almost surely, 222012416 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 22012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33752862).
22012416 is an abundant number, since it is smaller than the sum of its proper divisors (45493308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22012416 is a wasteful number, since it uses less digits than its factorization.
22012416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 322 (or 303 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 22012416 is about 4691.7391231824. The cubic root of 22012416 is about 280.2566354559.
Adding to 22012416 its reverse (61421022), we get a palindrome (83433438).
The spelling of 22012416 in words is "twenty-two million, twelve thousand, four hundred sixteen".
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