Search a number
-
+
2265807 = 319127313
BaseRepresentation
bin1000101001001011001111
311021010002210
420221023033
51040001212
6120321503
725154565
oct10511317
94233083
102265807
111308375
12913293
1361441b
1442da35
152eb53c
hex2292cf

2265807 has 16 divisors (see below), whose sum is σ = 3215360. Its totient is φ = 1415232.

The previous prime is 2265797. The next prime is 2265841. The reversal of 2265807 is 7085622.

2265807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2265807 - 28 = 2265551 is a prime.

It is a super-2 number, since 2×22658072 = 10267762722498, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7083 + ... + 7395.

It is an arithmetic number, because the mean of its divisors is an integer number (200960).

22265807 is an apocalyptic number.

2265807 is a deficient number, since it is larger than the sum of its proper divisors (949553).

2265807 is a wasteful number, since it uses less digits than its factorization.

2265807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2265807 is about 1505.2597782443. The cubic root of 2265807 is about 131.3432136027.

The spelling of 2265807 in words is "two million, two hundred sixty-five thousand, eight hundred seven".

Divisors: 1 3 19 57 127 313 381 939 2413 5947 7239 17841 39751 119253 755269 2265807