[go: up one dir, main page]

Search a number
-
+
23145616 = 2413223499
BaseRepresentation
bin101100001001…
…0110010010000
31121112220211001
41120102302100
521411124431
62144031344
7400506634
oct130226220
947486731
1023145616
111207970a
127902554
134a45140
143106dc4
152072e61
hex1612c90

23145616 has 40 divisors (see below), whose sum is σ = 48608000. Its totient is φ = 10613376.

The previous prime is 23145611. The next prime is 23145631. The reversal of 23145616 is 61654132.

It is not an unprimeable number, because it can be changed into a prime (23145611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46135 + ... + 46633.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 223145616 is an apocalyptic number.

23145616 is a gapful number since it is divisible by the number (26) 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 23145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24304000).

23145616 is an abundant number, since it is smaller than the sum of its proper divisors (25462384).

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

23145616 is a wasteful number, since it uses less digits than its factorization.

23145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 23145616 is about 4810.9890874954. The cubic root of 23145616 is about 284.9855989440.

Adding to 23145616 its reverse (61654132), we get a palindrome (84799748).

The spelling of 23145616 in words is "twenty-three million, one hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 223 446 499 892 998 1784 1996 2899 3568 3992 5798 6487 7984 11596 12974 23192 25948 46384 51896 103792 111277 222554 445108 890216 1446601 1780432 2893202 5786404 11572808 23145616