Search a number
-
+
18225648 = 24347341
BaseRepresentation
bin100010110000…
…1100111110000
31021021221220000
41011201213300
514131210043
61450350000
7310626000
oct105414760
937257800
1018225648
11a319221
12612b300
133a1190c
1425c6000
1519002d3
hex11619f0

18225648 has 200 divisors, whose sum is σ = 63016800. Its totient is φ = 5080320.

The previous prime is 18225611. The next prime is 18225653. The reversal of 18225648 is 84652281.

18225648 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 5 + 648 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444508 + ... + 444548.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 218225648 is an apocalyptic number.

18225648 is a gapful number since it is divisible by the number (18) 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 18225648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31508400).

18225648 is an abundant number, since it is smaller than the sum of its proper divisors (44791152).

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

18225648 is an equidigital number, since it uses as much as digits as its factorization.

18225648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 18225648 is about 4269.1507352165. The cubic root of 18225648 is about 263.1647153544.

The spelling of 18225648 in words is "eighteen million, two hundred twenty-five thousand, six hundred forty-eight".