Search a number
-
+
23280200 = 2352432707
BaseRepresentation
bin101100011001…
…1101001001000
31121210202102122
41120303221020
521424431300
62150550412
7401610206
oct130635110
947722378
1023280200
1112160839
127968408
134a91488
143140076
15209cc85
hex1633a48

23280200 has 48 divisors (see below), whose sum is σ = 55405680. Its totient is φ = 9092160.

The previous prime is 23280199. The next prime is 23280217. The reversal of 23280200 is 208232.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7247 + ... + 9953.

It is an arithmetic number, because the mean of its divisors is an integer number (1154285).

Almost surely, 223280200 is an apocalyptic number.

23280200 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 23280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27702840).

23280200 is an abundant number, since it is smaller than the sum of its proper divisors (32125480).

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

23280200 is a wasteful number, since it uses less digits than its factorization.

23280200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 23280200 is about 4824.9559583482. The cubic root of 23280200 is about 285.5368970320.

Adding to 23280200 its reverse (208232), we get a palindrome (23488432).

The spelling of 23280200 in words is "twenty-three million, two hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 2707 4300 5414 8600 10828 13535 21656 27070 54140 67675 108280 116401 135350 232802 270700 465604 541400 582005 931208 1164010 2328020 2910025 4656040 5820050 11640100 23280200