Base | Representation |
---|---|
bin | 1000101110101001101000 |
3 | 11022020212100 |
4 | 20232221220 |
5 | 1041210412 |
6 | 121013400 |
7 | 25310142 |
oct | 10565150 |
9 | 4266770 |
10 | 2288232 |
11 | 1323201 |
12 | 924260 |
13 | 6216ab |
14 | 437c92 |
15 | 302edc |
hex | 22ea68 |
2288232 has 48 divisors (see below), whose sum is σ = 6310980. Its totient is φ = 748800.
The previous prime is 2288213. The next prime is 2288239. The reversal of 2288232 is 2328822.
It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 367236 = 1386^2 + 606^2 .
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2288196 and 2288205.
It is not an unprimeable number, because it can be changed into a prime (2288239) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4132 + ... + 4652.
22288232 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 2288232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155490).
2288232 is an abundant number, since it is smaller than the sum of its proper divisors (4022748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2288232 is a wasteful number, since it uses less digits than its factorization.
2288232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 594 (or 587 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
The square root of 2288232 is about 1512.6903186046. The cubic root of 2288232 is about 131.7750991264.
The spelling of 2288232 in words is "two million, two hundred eighty-eight thousand, two hundred thirty-two".
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