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2242324140 = 22357171916529
BaseRepresentation
bin1000010110100111…
…0010011010101100
312210021022212110020
42011221302122230
514043013333030
61010300442140
7106365304110
oct20551623254
95707285406
102242324140
11a50808351
12526b49350
13299730024
14173b37740
15d1ccc510
hex85a726ac

2242324140 has 192 divisors, whose sum is σ = 7997875200. Its totient is φ = 456966144.

The previous prime is 2242324093. The next prime is 2242324169. The reversal of 2242324140 is 414232422.

It is a super-3 number, since 3×22423241403 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242324140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127396 + ... + 143924.

It is an arithmetic number, because the mean of its divisors is an integer number (41655600).

Almost surely, 22242324140 is an apocalyptic number.

2242324140 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 2242324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998937600).

2242324140 is an abundant number, since it is smaller than the sum of its proper divisors (5755551060).

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

2242324140 is a wasteful number, since it uses less digits than its factorization.

2242324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16584 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2242324140 is about 47353.1851093461. The cubic root of 2242324140 is about 1308.8788924231.

Adding to 2242324140 its reverse (414232422), we get a palindrome (2656556562).

The spelling of 2242324140 in words is "two billion, two hundred forty-two million, three hundred twenty-four thousand, one hundred forty".