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2240330420 = 225112016521
BaseRepresentation
bin1000010110001000…
…1011101010110100
312210010120120120202
42011202023222310
514042011033140
61010150020032
7106342331366
oct20542135264
95703516522
102240330420
11a4a676449
12526347618
132991b2703
14173778d36
15d1a36915
hex8588bab4

2240330420 has 12 divisors (see below), whose sum is σ = 4704693924. Its totient is φ = 896132160.

The previous prime is 2240330383. The next prime is 2240330441. The reversal of 2240330420 is 240330422.

It can be written as a sum of positive squares in 2 ways, for example, as 388405264 + 1851925156 = 19708^2 + 43034^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 112016521 = 2240330420 / (2 + 2 + 4 + 0 + 3 + 3 + 0 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2240330392 and 2240330401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56008241 + ... + 56008280.

It is an arithmetic number, because the mean of its divisors is an integer number (392057827).

Almost surely, 22240330420 is an apocalyptic number.

2240330420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240330420 is an abundant number, since it is smaller than the sum of its proper divisors (2464363504).

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

2240330420 is a wasteful number, since it uses less digits than its factorization.

2240330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112016530 (or 112016528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2240330420 is about 47332.1288344397. The cubic root of 2240330420 is about 1308.4908557773.

Adding to 2240330420 its reverse (240330422), we get a palindrome (2480660842).

The spelling of 2240330420 in words is "two billion, two hundred forty million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 112016521 224033042 448066084 560082605 1120165210 2240330420