Base | Representation |
---|---|
bin | 1000101111000101110000 |
3 | 11022100100000 |
4 | 20233011300 |
5 | 1041240112 |
6 | 121030000 |
7 | 25315323 |
oct | 10570560 |
9 | 4270300 |
10 | 2290032 |
11 | 1324598 |
12 | 925300 |
13 | 622464 |
14 | 4387ba |
15 | 3037dc |
hex | 22f170 |
2290032 has 120 divisors (see below), whose sum is σ = 7221760. Its totient is φ = 699840.
The previous prime is 2290031. The next prime is 2290033. The reversal of 2290032 is 2300922.
It is an interprime number because it is at equal distance from previous prime (2290031) and next prime (2290033).
It is a super-2 number, since 2×22900322 = 10488493122048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2289987 and 2290014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2290031) 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, 73857 + ... + 73887.
22290032 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 2290032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610880).
2290032 is an abundant number, since it is smaller than the sum of its proper divisors (4931728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2290032 is a wasteful number, since it uses less digits than its factorization.
2290032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 55 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2290032 is about 1513.2851681028. The cubic root of 2290032 is about 131.8096429737.
Adding to 2290032 its reverse (2300922), we get a palindrome (4590954).
The spelling of 2290032 in words is "two million, two hundred ninety thousand, thirty-two".
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