Search a number
-
+
2295864 = 23351181
BaseRepresentation
bin1000110000100000111000
311022122100000
420300200320
51041431424
6121113000
725341324
oct10604070
94278300
102295864
111328a0a
12928760
13624ccc
1443a984
153053c9
hex230838

2295864 has 48 divisors (see below), whose sum is σ = 6453720. Its totient is φ = 764640.

The previous prime is 2295859. The next prime is 2295869. The reversal of 2295864 is 4685922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2295859) and next prime (2295869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 219 + 95 + 53 + 85 + 68 + 42 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2295869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 2534.

22295864 is an apocalyptic number.

2295864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226860).

2295864 is an abundant number, since it is smaller than the sum of its proper divisors (4157856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2295864 is a wasteful number, since it uses less digits than its factorization.

2295864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1186 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2295864 is about 1515.2108764129. The cubic root of 2295864 is about 131.9214408585.

The spelling of 2295864 in words is "two million, two hundred ninety-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1181 1944 2362 3543 4724 7086 9448 10629 14172 21258 28344 31887 42516 63774 85032 95661 127548 191322 255096 286983 382644 573966 765288 1147932 2295864