Search a number
-
+
6224254560 = 2532559611201
BaseRepresentation
bin1011100101111111…
…01001011001100000
3121001210000220002200
411302333221121200
5100221402121220
62505343213200
7310146201516
oct56277513140
917053026080
106224254560
11270447a637
1212585a7200
13782695b84
144309064b6
15266683890
hex172fe9660

6224254560 has 288 divisors, whose sum is σ = 21972656160. Its totient is φ = 1603584000.

The previous prime is 6224254537. The next prime is 6224254573. The reversal of 6224254560 is 654524226.

6224254560 is a `hidden beast` number, since 6 + 2 + 2 + 42 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5181960 + ... + 5183160.

It is an arithmetic number, because the mean of its divisors is an integer number (76293945).

Almost surely, 26224254560 is an apocalyptic number.

6224254560 is a gapful number since it is divisible by the number (60) 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 6224254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10986328080).

6224254560 is an abundant number, since it is smaller than the sum of its proper divisors (15748401600).

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

6224254560 is a wasteful number, since it uses less digits than its factorization.

6224254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6224254560 is about 78893.9450148109. The cubic root of 6224254560 is about 1839.4830148066.

Adding to 6224254560 its reverse (654524226), we get a palindrome (6878778786).

The spelling of 6224254560 in words is "six billion, two hundred twenty-four million, two hundred fifty-four thousand, five hundred sixty".