Search a number
-
+
2204528040 = 233251121317229
BaseRepresentation
bin1000001101100110…
…0110110110101000
312200122012121221200
42003121212312220
514003324344130
61002430404200
7105426115311
oct20331466650
95618177850
102204528040
11a31442600
12516360660
13291958680
1416cad9608
15cd813760
hex83666da8

2204528040 has 576 divisors, whose sum is σ = 9019155600. Its totient is φ = 462274560.

The previous prime is 2204527987. The next prime is 2204528041. The reversal of 2204528040 is 408254022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1410302916 + 794225124 = 37554^2 + 28182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2204527995 and 2204528013.

It is not an unprimeable number, because it can be changed into a prime (2204528041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9626646 + ... + 9626874.

Almost surely, 22204528040 is an apocalyptic number.

2204528040 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 2204528040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509577800).

2204528040 is an abundant number, since it is smaller than the sum of its proper divisors (6814627560).

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

2204528040 is a wasteful number, since it uses less digits than its factorization.

2204528040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2204528040 is about 46952.4018554962. The cubic root of 2204528040 is about 1301.4831278170.

The spelling of 2204528040 in words is "two billion, two hundred four million, five hundred twenty-eight thousand, forty".