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2313564 = 22311171031
BaseRepresentation
bin1000110100110101011100
311100112121120
420310311130
51043013224
6121330540
725444041
oct10646534
94315546
102313564
111340240
12936a50
13630096
144431c8
1530a779
hex234d5c

2313564 has 48 divisors (see below), whose sum is σ = 6241536. Its totient is φ = 659200.

The previous prime is 2313557. The next prime is 2313569. The reversal of 2313564 is 4653132.

It is a happy number.

2313564 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 219 + 311 + 1 + 313 + 53 + 64 + 47 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313569) 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, 1729 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (130032).

22313564 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 2313564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120768).

2313564 is an abundant number, since it is smaller than the sum of its proper divisors (3927972).

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

2313564 is a wasteful number, since it uses less digits than its factorization.

2313564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1064 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 2313564 is about 1521.0404333876. The cubic root of 2313564 is about 132.2595901675.

Adding to 2313564 its reverse (4653132), we get a palindrome (6966696).

The spelling of 2313564 in words is "two million, three hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1031 1122 2062 2244 3093 4124 6186 11341 12372 17527 22682 34023 35054 45364 52581 68046 70108 105162 136092 192797 210324 385594 578391 771188 1156782 2313564