Search a number
-
+
23136200 = 2352293989
BaseRepresentation
bin101100001000…
…0011111001000
31121112102220022
41120100133020
521410324300
62143520012
7400440323
oct130203710
947472808
1023136200
111207262a
1278b9008
134a40a79
1431037ba
152070285
hex16107c8

23136200 has 48 divisors (see below), whose sum is σ = 55660500. Its totient is φ = 8933120.

The previous prime is 23136187. The next prime is 23136203. The reversal of 23136200 is 263132.

It can be written as a sum of positive squares in 6 ways, for example, as 8282884 + 14853316 = 2878^2 + 3854^2 .

It is not an unprimeable number, because it can be changed into a prime (23136203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3806 + ... + 7794.

Almost surely, 223136200 is an apocalyptic number.

23136200 is a gapful number since it is divisible by the number (20) 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 23136200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830250).

23136200 is an abundant number, since it is smaller than the sum of its proper divisors (32524300).

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

23136200 is a wasteful number, since it uses less digits than its factorization.

23136200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 23136200 is about 4810.0103949992. The cubic root of 23136200 is about 284.9469481636.

Adding to 23136200 its reverse (263132), we get a palindrome (23399332).

The spelling of 23136200 in words is "twenty-three million, one hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 3989 5800 7978 15956 19945 31912 39890 79780 99725 115681 159560 199450 231362 398900 462724 578405 797800 925448 1156810 2313620 2892025 4627240 5784050 11568100 23136200