Base | Representation |
---|---|
bin | 1000100101110010011111 |
3 | 11020102002000 |
4 | 20211302133 |
5 | 1034030220 |
6 | 120133343 |
7 | 25066260 |
oct | 10456237 |
9 | 4212060 |
10 | 2251935 |
11 | 12a8a04 |
12 | 907253 |
13 | 60b00a |
14 | 428967 |
15 | 2e7390 |
hex | 225c9f |
2251935 has 32 divisors (see below), whose sum is σ = 4577280. Its totient is φ = 1029024.
The previous prime is 2251927. The next prime is 2251943. The reversal of 2251935 is 5391522.
2251935 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2251927) and next prime (2251943).
It is not a de Polignac number, because 2251935 - 23 = 2251927 is a prime.
It is a super-2 number, since 2×22519352 = 10142422488450, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
2251935 is strictly pandigital in base 8.
It is a junction number, because it is equal to n+sod(n) for n = 2251899 and 2251908.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247 + ... + 2136.
It is an arithmetic number, because the mean of its divisors is an integer number (143040).
22251935 is an apocalyptic number.
2251935 is an abundant number, since it is smaller than the sum of its proper divisors (2325345).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2251935 is a wasteful number, since it uses less digits than its factorization.
2251935 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2404 (or 2398 counting only the distinct ones).
The product of its digits is 2700, while the sum is 27.
The square root of 2251935 is about 1500.6448613846. The cubic root of 2251935 is about 131.0746229072.
The spelling of 2251935 in words is "two million, two hundred fifty-one thousand, nine hundred thirty-five".
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