Search a number
-
+
2850225840 = 2433571117137
BaseRepresentation
bin1010100111100010…
…1111111010110000
321100122012110211000
42221320233322300
521314124211330
61150454122000
7130426343220
oct25170577260
97318173730
102850225840
111232972950
12676650300
13365664387
141d077a080
1511a35b560
hexa9e2feb0

2850225840 has 320 divisors, whose sum is σ = 12240645120. Its totient is φ = 592220160.

The previous prime is 2850225827. The next prime is 2850225871. The reversal of 2850225840 is 485220582.

2850225840 is a `hidden beast` number, since 2 + 8 + 50 + 22 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2850225795 and 2850225804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157752 + ... + 174888.

It is an arithmetic number, because the mean of its divisors is an integer number (38252016).

Almost surely, 22850225840 is an apocalyptic number.

2850225840 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 2850225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120322560).

2850225840 is an abundant number, since it is smaller than the sum of its proper divisors (9390419280).

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

2850225840 is a wasteful number, since it uses less digits than its factorization.

2850225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17177 (or 17165 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2850225840 is about 53387.5064036522. The cubic root of 2850225840 is about 1417.8373878459.

The spelling of 2850225840 in words is "two billion, eight hundred fifty million, two hundred twenty-five thousand, eight hundred forty".