Base | Representation |
---|---|
bin | 1000100001000000101000 |
3 | 11012102020000 |
4 | 20201000220 |
5 | 1032413420 |
6 | 115503000 |
7 | 24655224 |
oct | 10410050 |
9 | 4172200 |
10 | 2232360 |
11 | 1295229 |
12 | 8b7a60 |
13 | 602130 |
14 | 421784 |
15 | 2e1690 |
hex | 221028 |
2232360 has 160 divisors (see below), whose sum is σ = 8232840. Its totient is φ = 539136.
The previous prime is 2232353. The next prime is 2232379. The reversal of 2232360 is 632322.
2232360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 1633284 + 599076 = 1278^2 + 774^2 .
It is a super-3 number, since 3×22323603 = 33374437217304768000, which contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42094 + ... + 42146.
22232360 is an apocalyptic number.
2232360 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 2232360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116420).
2232360 is an abundant number, since it is smaller than the sum of its proper divisors (6000480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232360 is a wasteful number, since it uses less digits than its factorization.
2232360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 89 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2232360 is about 1494.1084298002. The cubic root of 2232360 is about 130.6937273308.
Adding to 2232360 its reverse (632322), we get a palindrome (2864682).
The spelling of 2232360 in words is "two million, two hundred thirty-two thousand, three hundred sixty".
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