Search a number
-
+
23115456 = 26347313
BaseRepresentation
bin101100000101…
…1011011000000
31121111101110000
41120023123000
521404143311
62143240000
7400323000
oct130133300
947441400
1023115456
1112058a91
1278a9000
134a344b0
1430da000
152069056
hex160b6c0

23115456 has 280 divisors, whose sum is σ = 86055200. Its totient is φ = 6096384.

The previous prime is 23115451. The next prime is 23115497. The reversal of 23115456 is 65451132.

23115456 = T309 + T310 + ... + T551.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3600) is a multiple of the sum of its prime divisors (25).

It is not an unprimeable number, because it can be changed into a prime (23115451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1778106 + ... + 1778118.

It is an arithmetic number, because the mean of its divisors is an integer number (307340).

Almost surely, 223115456 is an apocalyptic number.

23115456 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 23115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43027600).

23115456 is an abundant number, since it is smaller than the sum of its proper divisors (62939744).

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

23115456 is an equidigital number, since it uses as much as digits as its factorization.

23115456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 25 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 23115456 is about 4807.8535751414. The cubic root of 23115456 is about 284.8617612132.

Adding to 23115456 its reverse (65451132), we get a palindrome (88566588).

The spelling of 23115456 in words is "twenty-three million, one hundred fifteen thousand, four hundred fifty-six".