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2823009280 = 21057137383
BaseRepresentation
bin1010100001000011…
…1011010000000000
321021201222201201021
42220100323100000
521240142244110
61144042515224
7126646116520
oct25020732000
97251881637
102823009280
111219573723
12669505b14
1335cb252c0
141cacd3680
15117c822da
hexa843b400

2823009280 has 352 divisors, whose sum is σ = 8550630144. Its totient is φ = 870580224.

The previous prime is 2823009251. The next prime is 2823009283. The reversal of 2823009280 is 829003282.

It is a happy number.

It is a super-2 number, since 2×28230092802 = 15938762789932236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823009283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34012119 + ... + 34012201.

Almost surely, 22823009280 is an apocalyptic number.

2823009280 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 2823009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275315072).

2823009280 is an abundant number, since it is smaller than the sum of its proper divisors (5727620864).

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

2823009280 is a wasteful number, since it uses less digits than its factorization.

2823009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2823009280 is about 53131.9986448844. The cubic root of 2823009280 is about 1413.3100110862.

The spelling of 2823009280 in words is "two billion, eight hundred twenty-three million, nine thousand, two hundred eighty".