Base | Representation |
---|---|
bin | 101011010111… |
… | …1111100100000 |
3 | 1120210100110200 |
4 | 1112233330200 |
5 | 21310201033 |
6 | 2131225200 |
7 | 364202421 |
oct | 126577440 |
9 | 46710420 |
10 | 22740768 |
11 | 11922526 |
12 | 7748200 |
13 | 4932a9b |
14 | 303d648 |
15 | 1ee3013 |
hex | 15aff20 |
22740768 has 54 divisors (see below), whose sum is σ = 64900017. Its totient is φ = 7553280.
The previous prime is 22740761. The next prime is 22740787. The reversal of 22740768 is 86704722.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 725904 = 4692^2 + 852^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=3372.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (22740761) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80788 + ... + 81068.
Almost surely, 222740768 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 22740768
22740768 is an abundant number, since it is smaller than the sum of its proper divisors (42159249).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22740768 is an equidigital number, since it uses as much as digits as its factorization.
22740768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 578 (or 286 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 22740768 is about 4768.7281323221. The cubic root of 22740768 is about 283.3142218559.
It can be divided in two parts, 227407 and 68, that added together give a triangular number (227475 = T674).
The spelling of 22740768 in words is "twenty-two million, seven hundred forty thousand, seven hundred sixty-eight".
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