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2282064840 = 233451125821
BaseRepresentation
bin1000100000000101…
…1000101111001000
312220001002220110000
42020001120233020
514133202033330
61014240323000
7110360142156
oct21001305710
95801086400
102282064840
11a71191100
12538313460
132a4a35833
141791203d6
15d552c560
hex88058bc8

2282064840 has 240 divisors, whose sum is σ = 8432410140. Its totient is φ = 553132800.

The previous prime is 2282064793. The next prime is 2282064847. The reversal of 2282064840 is 484602822.

It is a happy number.

2282064840 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 0 + 648 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2239371684 + 42693156 = 47322^2 + 6534^2 .

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 = 2282064795 and 2282064804.

It is not an unprimeable number, because it can be changed into a prime (2282064847) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 389130 + ... + 394950.

Almost surely, 22282064840 is an apocalyptic number.

2282064840 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 2282064840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216205070).

2282064840 is an abundant number, since it is smaller than the sum of its proper divisors (6150345300).

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

2282064840 is a wasteful number, since it uses less digits than its factorization.

2282064840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2282064840 is about 47770.9623097547. The cubic root of 2282064840 is about 1316.5660745312.

The spelling of 2282064840 in words is "two billion, two hundred eighty-two million, sixty-four thousand, eight hundred forty".