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2315268 = 223273881
BaseRepresentation
bin1000110101010000000100
311100121221200
420311100010
51043042033
6121342500
725452024
oct10652004
94317850
102315268
11134154a
12937a30
13630aa7
14443a84
1530b013
hex235404

2315268 has 36 divisors (see below), whose sum is σ = 5939388. Its totient is φ = 760320.

The previous prime is 2315263. The next prime is 2315317. The reversal of 2315268 is 8625132.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 1483524 = 912^2 + 1218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2315263) 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, 2188 + ... + 3068.

It is an arithmetic number, because the mean of its divisors is an integer number (164983).

22315268 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 2315268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969694).

2315268 is an abundant number, since it is smaller than the sum of its proper divisors (3624120).

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

2315268 is a wasteful number, since it uses less digits than its factorization.

2315268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 959 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2315268 is about 1521.6004731860. The cubic root of 2315268 is about 132.2920530737.

It can be divided in two parts, 23152 and 68, that added together give a triangular number (23220 = T215).

The spelling of 2315268 in words is "two million, three hundred fifteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 881 1314 1762 2628 2643 3524 5286 7929 10572 15858 31716 64313 128626 192939 257252 385878 578817 771756 1157634 2315268