Base | Representation |
---|---|
bin | 101010000001… |
… | …0101010101100 |
3 | 1112110021212201 |
4 | 1110002222230 |
5 | 21114443040 |
6 | 2104111244 |
7 | 355155244 |
oct | 124025254 |
9 | 45407781 |
10 | 22031020 |
11 | 11488260 |
12 | 7465524 |
13 | 4744a0b |
14 | 2cd6b24 |
15 | 1e02a9a |
hex | 1502aac |
22031020 has 48 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 7958720.
The previous prime is 22031017. The next prime is 22031027. The reversal of 22031020 is 2013022.
22031020 = T333 + T334 + ... + T552.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 22030988 and 22031006.
It is not an unprimeable number, because it can be changed into a prime (22031027) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52371 + ... + 52789.
It is an arithmetic number, because the mean of its divisors is an integer number (1058400).
Almost surely, 222031020 is an apocalyptic number.
22031020 is a gapful number since it is divisible by the number (20) 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 22031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).
22031020 is an abundant number, since it is smaller than the sum of its proper divisors (28772180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22031020 is a wasteful number, since it uses less digits than its factorization.
22031020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 678 (or 676 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 22031020 is about 4693.7213381282. The cubic root of 22031020 is about 280.3355670655.
Adding to 22031020 its reverse (2013022), we get a palindrome (24044042).
It can be divided in two parts, 2203 and 1020, that added together give a palindrome (3223).
The spelling of 22031020 in words is "twenty-two million, thirty-one thousand, twenty".
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