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2243807280 = 243251113193137
BaseRepresentation
bin1000010110111101…
…1100100000110000
312210101010012221100
42011233130200300
514043403313110
61010352324400
7106414022121
oct20557344060
95711105840
102243807280
11a51630690
12527543700
13299b2c120
14174002048
15d1ec1bc0
hex85bdc830

2243807280 has 960 divisors, whose sum is σ = 9879367680. Its totient is φ = 447897600.

The previous prime is 2243807263. The next prime is 2243807327. The reversal of 2243807280 is 827083422.

It is a super-2 number, since 2×22438072802 = 10069342219561996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60643422 + ... + 60643458.

It is an arithmetic number, because the mean of its divisors is an integer number (10291008).

Almost surely, 22243807280 is an apocalyptic number.

2243807280 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 2243807280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939683840).

2243807280 is an abundant number, since it is smaller than the sum of its proper divisors (7635560400).

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

2243807280 is a wasteful number, since it uses less digits than its factorization.

2243807280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2243807280 is about 47368.8429244372. The cubic root of 2243807280 is about 1309.1674059886.

The spelling of 2243807280 in words is "two billion, two hundred forty-three million, eight hundred seven thousand, two hundred eighty".