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2263257 = 32251473
BaseRepresentation
bin1000101000100011011001
311020222121100
420220203121
51034411012
6120302013
725144263
oct10504331
94228540
102263257
111306467
12911909
13613209
1442cb33
152ea8dc
hex2288d9

2263257 has 6 divisors (see below), whose sum is σ = 3269162. Its totient is φ = 1508832.

The previous prime is 2263249. The next prime is 2263273. The reversal of 2263257 is 7523622.

2263257 is a `hidden beast` number, since 22 + 632 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2178576 + 84681 = 1476^2 + 291^2 .

It is not a de Polignac number, because 2263257 - 23 = 2263249 is a prime.

It is a d-powerful number, because it can be written as 24 + 28 + 68 + 310 + 219 + 52 + 7 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2263257.

It is not an unprimeable number, because it can be changed into a prime (2263237) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125728 + ... + 125745.

22263257 is an apocalyptic number.

It is an amenable number.

2263257 is a deficient number, since it is larger than the sum of its proper divisors (1005905).

2263257 is a wasteful number, since it uses less digits than its factorization.

2263257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251479 (or 251476 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2263257 is about 1504.4125099187. The cubic root of 2263257 is about 131.2939227146.

Adding to 2263257 its reverse (7523622), we get a palindrome (9786879).

The spelling of 2263257 in words is "two million, two hundred sixty-three thousand, two hundred fifty-seven".

Divisors: 1 3 9 251473 754419 2263257