Base | Representation |
---|---|
bin | 101011010000… |
… | …0010100000110 |
3 | 1120200002122100 |
4 | 1112200110012 |
5 | 21301123432 |
6 | 2130012530 |
7 | 363514644 |
oct | 126402406 |
9 | 46602570 |
10 | 22676742 |
11 | 11889410 |
12 | 7717146 |
13 | 490c8ba |
14 | 3024194 |
15 | 1ece07c |
hex | 15a0506 |
22676742 has 48 divisors (see below), whose sum is σ = 56760912. Its totient is φ = 6466560.
The previous prime is 22676729. The next prime is 22676743. The reversal of 22676742 is 24767622.
It is a junction number, because it is equal to n+sod(n) for n = 22676697 and 22676706.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22676743) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3 + ... + 6734.
It is an arithmetic number, because the mean of its divisors is an integer number (1182519).
Almost surely, 222676742 is an apocalyptic number.
22676742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22676742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28380456).
22676742 is an abundant number, since it is smaller than the sum of its proper divisors (34084170).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22676742 is a wasteful number, since it uses less digits than its factorization.
22676742 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6773 (or 6770 counting only the distinct ones).
The product of its digits is 56448, while the sum is 36.
The square root of 22676742 is about 4762.0102897831. The cubic root of 22676742 is about 283.0480841602.
It can be divided in two parts, 2267 and 6742, that added together give a palindrome (9009).
The spelling of 22676742 in words is "twenty-two million, six hundred seventy-six thousand, seven hundred forty-two".
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