Search a number
-
+
2265879 = 371117577
BaseRepresentation
bin1000101001001100010111
311021010012110
420221030113
51040002004
6120322103
725155030
oct10511427
94233173
102265879
111308430
12913333
13614475
1442da87
152eb589
hex229317

2265879 has 32 divisors (see below), whose sum is σ = 3995136. Its totient is φ = 1105920.

The previous prime is 2265877. The next prime is 2265881. The reversal of 2265879 is 9785622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2265877) and next prime (2265881).

It is not a de Polignac number, because 2265879 - 21 = 2265877 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2 + 25 + 67 + 59 + 85 + 7 + 9 .

2265879 is a lucky 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639 + ... + 4215.

It is an arithmetic number, because the mean of its divisors is an integer number (124848).

22265879 is an apocalyptic number.

2265879 is a deficient number, since it is larger than the sum of its proper divisors (1729257).

2265879 is a wasteful number, since it uses less digits than its factorization.

2265879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615.

The product of its digits is 60480, while the sum is 39.

The square root of 2265879 is about 1505.2836941919. The cubic root of 2265879 is about 131.3446048085.

It can be divided in two parts, 226 and 5879, that added together give a triangular number (6105 = T110).

The spelling of 2265879 in words is "two million, two hundred sixty-five thousand, eight hundred seventy-nine".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 577 1309 1731 3927 4039 6347 9809 12117 19041 29427 44429 68663 107899 133287 205989 323697 755293 2265879