Search a number
-
+
23231400 = 23352311249
BaseRepresentation
bin101100010011…
…1101110101000
31121201021111020
41120213232220
521421401100
62145532440
7401315013
oct130475650
947637436
1023231400
1112128105
127944120
134a751ba
14312a37a
15208d5a0
hex1627ba8

23231400 has 96 divisors (see below), whose sum is σ = 74400000. Its totient is φ = 5990400.

The previous prime is 23231399. The next prime is 23231473. The reversal of 23231400 is 413232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23231400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17976 + ... + 19224.

It is an arithmetic number, because the mean of its divisors is an integer number (775000).

Almost surely, 223231400 is an apocalyptic number.

23231400 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 23231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200000).

23231400 is an abundant number, since it is smaller than the sum of its proper divisors (51168600).

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

23231400 is a wasteful number, since it uses less digits than its factorization.

23231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23231400 is about 4819.8962644439. The cubic root of 23231400 is about 285.3372431312.

Adding to 23231400 its reverse (413232), we get a palindrome (23644632).

The spelling of 23231400 in words is "twenty-three million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1249 1550 1860 2325 2498 3100 3720 3747 4650 4996 6200 6245 7494 9300 9992 12490 14988 18600 18735 24980 29976 31225 37470 38719 49960 62450 74940 77438 93675 116157 124900 149880 154876 187350 193595 232314 249800 309752 374700 387190 464628 580785 749400 774380 929256 967975 1161570 1548760 1935950 2323140 2903925 3871900 4646280 5807850 7743800 11615700 23231400