Search a number
-
+
23236200 = 23335213331
BaseRepresentation
bin101100010100…
…0111001101000
31121201112002000
41120220321220
521422024300
62150011000
7401335011
oct130507150
947645060
1023236200
1112130779
127946a60
134a77440
14312c008
15208ec00
hex1628e68

23236200 has 192 divisors, whose sum is σ = 86452800. Its totient is φ = 5702400.

The previous prime is 23236193. The next prime is 23236201. The reversal of 23236200 is 263232.

23236200 is a `hidden beast` number, since 23 + 23 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23236201) 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 47 ways as a sum of consecutive naturals, for example, 70035 + ... + 70365.

It is an arithmetic number, because the mean of its divisors is an integer number (450275).

Almost surely, 223236200 is an apocalyptic number.

23236200 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 23236200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43226400).

23236200 is an abundant number, since it is smaller than the sum of its proper divisors (63216600).

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

23236200 is a wasteful number, since it uses less digits than its factorization.

23236200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23236200 is about 4820.3941747538. The cubic root of 23236200 is about 285.3568936107.

Adding to 23236200 its reverse (263232), we get a palindrome (23499432).

It can be divided in two parts, 23236 and 200, that added together give a triangular number (23436 = T216).

The spelling of 23236200 in words is "twenty-three million, two hundred thirty-six thousand, two hundred".