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2835243000 = 233453172971
BaseRepresentation
bin1010100011111110…
…0101111111111000
321022121000021020000
42220333211333320
521301310234000
61145201033000
7130155111402
oct25077457770
97277007200
102835243000
11122546a037
12671625760
133625197a5
141cc799b72
15118d9c000
hexa8fe5ff8

2835243000 has 640 divisors, whose sum is σ = 11008483200. Its totient is φ = 677376000.

The previous prime is 2835242951. The next prime is 2835243011. The reversal of 2835243000 is 3425382.

2835243000 is a `hidden beast` number, since 2 + 8 + 352 + 4 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39932965 + ... + 39933035.

It is an arithmetic number, because the mean of its divisors is an integer number (17200755).

Almost surely, 22835243000 is an apocalyptic number.

2835243000 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 2835243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504241600).

2835243000 is an abundant number, since it is smaller than the sum of its proper divisors (8173240200).

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

2835243000 is a wasteful number, since it uses less digits than its factorization.

2835243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2835243000 is about 53246.9999154882. Note that the first 4 decimals coincide. The cubic root of 2835243000 is about 1415.3486303166.

Adding to 2835243000 its reverse (3425382), we get a palindrome (2838668382).

The spelling of 2835243000 in words is "two billion, eight hundred thirty-five million, two hundred forty-three thousand".