Search a number
-
+
2295664 = 247103199
BaseRepresentation
bin1000110000011101110000
311022122001121
420300131300
51041430124
6121112024
725340620
oct10603560
94278047
102295664
111328848
12928614
13624ba7
1443a880
153052e4
hex230770

2295664 has 40 divisors (see below), whose sum is σ = 5158400. Its totient is φ = 969408.

The previous prime is 2295659. The next prime is 2295673. The reversal of 2295664 is 4665922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11437 + ... + 11635.

It is an arithmetic number, because the mean of its divisors is an integer number (128960).

22295664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579200).

2295664 is an abundant number, since it is smaller than the sum of its proper divisors (2862736).

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

2295664 is a wasteful number, since it uses less digits than its factorization.

2295664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 2295664 is about 1515.1448775612. The cubic root of 2295664 is about 131.9176100488.

It can be divided in two parts, 2 and 295664, that multiplied together give a triangular number (591328 = T1087).

The spelling of 2295664 in words is "two million, two hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 199 206 398 412 721 796 824 1393 1442 1592 1648 2786 2884 3184 5572 5768 11144 11536 20497 22288 40994 81988 143479 163976 286958 327952 573916 1147832 2295664