Base | Representation |
---|---|
bin | 1000100001000111000000 |
3 | 11012102210010 |
4 | 20201013000 |
5 | 1032422033 |
6 | 115504520 |
7 | 24656346 |
oct | 10410700 |
9 | 4172703 |
10 | 2232768 |
11 | 129556a |
12 | 8b8140 |
13 | 602385 |
14 | 421996 |
15 | 2e1863 |
hex | 2211c0 |
2232768 has 56 divisors (see below), whose sum is σ = 6126480. Its totient is φ = 716800.
The previous prime is 2232761. The next prime is 2232773. The reversal of 2232768 is 8672322.
It is a super-3 number, since 3×22327683 = 33392739721231466496, which contains 333 as substring.
It is an Ulam number.
It is a d-powerful number, because it can be written as 211 + 217 + 34 + 221 + 74 + 6 + 8 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2232761) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5368 + ... + 5768.
22232768 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 2232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063240).
2232768 is an abundant number, since it is smaller than the sum of its proper divisors (3893712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232768 is a wasteful number, since it uses less digits than its factorization.
2232768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 445 (or 435 counting only the distinct ones).
The product of its digits is 8064, while the sum is 30.
The square root of 2232768 is about 1494.2449598376. The cubic root of 2232768 is about 130.7016889786.
The spelling of 2232768 in words is "two million, two hundred thirty-two thousand, seven hundred sixty-eight".
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