Search a number
-
+
23200254 = 23271119881
BaseRepresentation
bin101100010000…
…0000111111110
31121122200202200
41120200013332
521414402004
62145132330
7401125140
oct130400776
947580680
1023200254
1112106770
12792a0a6
134a63c7c
14311cc90
152084239
hex16201fe

23200254 has 96 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5702400.

The previous prime is 23200237. The next prime is 23200321. The reversal of 23200254 is 45200232.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25894 + ... + 26774.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 223200254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23200254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

23200254 is an abundant number, since it is smaller than the sum of its proper divisors (42843906).

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

23200254 is a wasteful number, since it uses less digits than its factorization.

23200254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23200254 is about 4816.6641983846. The cubic root of 23200254 is about 285.2096702723.

Adding to 23200254 its reverse (45200232), we get a palindrome (68400486).

The spelling of 23200254 in words is "twenty-three million, two hundred thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 881 1197 1254 1386 1463 1762 1881 2394 2643 2926 3762 4389 5286 6167 7929 8778 9691 12334 13167 15858 16739 18501 19382 26334 29073 33478 37002 50217 55503 58146 67837 87219 100434 111006 117173 135674 150651 174438 184129 203511 234346 301302 351519 368258 407022 552387 610533 703038 1054557 1104774 1221066 1288903 1657161 2109114 2577806 3314322 3866709 7733418 11600127 23200254