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2299920840 = 2332572241541
BaseRepresentation
bin1000100100010110…
…0000000111001000
312221021201002021100
42021011200013020
514202234431330
61020115141400
7110665001400
oct21105400710
95837632240
102299920840
11a80277628
125422a4860
132a8648109
1417b64b800
15d6da8060
hex891601c8

2299920840 has 288 divisors, whose sum is σ = 8747327160. Its totient is φ = 522547200.

The previous prime is 2299920839. The next prime is 2299920841. The reversal of 2299920840 is 480299922.

It is an interprime number because it is at equal distance from previous prime (2299920839) and next prime (2299920841).

It can be written as a sum of positive squares in 4 ways, for example, as 1978292484 + 321628356 = 44478^2 + 17934^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2299920841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4250970 + ... + 4251510.

Almost surely, 22299920840 is an apocalyptic number.

2299920840 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 2299920840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373663580).

2299920840 is an abundant number, since it is smaller than the sum of its proper divisors (6447406320).

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

2299920840 is a wasteful number, since it uses less digits than its factorization.

2299920840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2299920840 is about 47957.4899259751. The cubic root of 2299920840 is about 1319.9909778998.

The spelling of 2299920840 in words is "two billion, two hundred ninety-nine million, nine hundred twenty thousand, eight hundred forty".