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2298240000 = 2103354719
BaseRepresentation
bin1000100011111100…
…0101110000000000
312221011112200121000
42020333011300000
514201322140000
61020015132000
7110644501110
oct21077056000
95834480530
102298240000
11a7a329801
12541814000
132a81aa034
1417b331040
15d6b75000
hex88fc5c00

2298240000 has 880 divisors, whose sum is σ = 10231724800. Its totient is φ = 497664000.

The previous prime is 2298239989. The next prime is 2298240011. The reversal of 2298240000 is 428922.

It is an interprime number because it is at equal distance from previous prime (2298239989) and next prime (2298240011).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 120959991 + ... + 120960009.

It is an arithmetic number, because the mean of its divisors is an integer number (11626960).

Almost surely, 22298240000 is an apocalyptic number.

2298240000 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 2298240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115862400).

2298240000 is an abundant number, since it is smaller than the sum of its proper divisors (7933484800).

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

2298240000 is an equidigital number, since it uses as much as digits as its factorization.

2298240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2298240000 is about 47939.9624530516. The cubic root of 2298240000 is about 1319.6693386635.

Adding to 2298240000 its reverse (428922), we get a palindrome (2298668922).

The spelling of 2298240000 in words is "two billion, two hundred ninety-eight million, two hundred forty thousand".