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23281416 = 2332536101
BaseRepresentation
bin101100011001…
…1111100001000
31121210211002200
41120303330020
521430001131
62151000200
7401613564
oct130637410
947724080
1023281416
1112161744
127969060
134a91bb2
1431406a4
15209d2e6
hex1633f08

23281416 has 48 divisors (see below), whose sum is σ = 64254060. Its totient is φ = 7612800.

The previous prime is 23281387. The next prime is 23281439. The reversal of 23281416 is 61418232.

It can be written as a sum of positive squares in 2 ways, for example, as 22524516 + 756900 = 4746^2 + 870^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23281416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 766 + ... + 6866.

Almost surely, 223281416 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 23281416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32127030).

23281416 is an abundant number, since it is smaller than the sum of its proper divisors (40972644).

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

23281416 is a wasteful number, since it uses less digits than its factorization.

23281416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6159 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23281416 is about 4825.0819682157. The cubic root of 23281416 is about 285.5418684501.

Adding to 23281416 its reverse (61418232), we get a palindrome (84699648).

The spelling of 23281416 in words is "twenty-three million, two hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 6101 12202 18303 24404 36606 48808 54909 73212 109818 146424 219636 323353 439272 646706 970059 1293412 1940118 2586824 2910177 3880236 5820354 7760472 11640708 23281416