Search a number
-
+
23225568 = 2531132141
BaseRepresentation
bin101100010011…
…0010011100000
31121200222111020
41120212103200
521421204233
62145445440
7401262012
oct130462340
947628436
1023225568
1112123793
127940880
134a72652
1431281b2
15208b9b3
hex16264e0

23225568 has 48 divisors (see below), whose sum is σ = 61535376. Its totient is φ = 7669760.

The previous prime is 23225551. The next prime is 23225569. The reversal of 23225568 is 86552232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9778 + ... + 11918.

It is an arithmetic number, because the mean of its divisors is an integer number (1281987).

Almost surely, 223225568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23225568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30767688).

23225568 is an abundant number, since it is smaller than the sum of its proper divisors (38309808).

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

23225568 is a wasteful number, since it uses less digits than its factorization.

23225568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2259 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 23225568 is about 4819.2912341962. The cubic root of 23225568 is about 285.3133641560.

The spelling of 23225568 in words is "twenty-three million, two hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2141 2712 3616 4282 5424 6423 8564 10848 12846 17128 25692 34256 51384 68512 102768 205536 241933 483866 725799 967732 1451598 1935464 2903196 3870928 5806392 7741856 11612784 23225568