Search a number
-
+
2240400440 = 23556010011
BaseRepresentation
bin1000010110001001…
…1100110000111000
312210010201010122002
42011202130300320
514042020303230
61010151320132
7106343042465
oct20542346070
95703633562
102240400440
11a4a714013
12526380048
13299208545
1417379666c
15d1a4c545
hex8589cc38

2240400440 has 16 divisors (see below), whose sum is σ = 5040901080. Its totient is φ = 896160160.

The previous prime is 2240400413. The next prime is 2240400469. The reversal of 2240400440 is 440040422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28004966 + ... + 28005045.

Almost surely, 22240400440 is an apocalyptic number.

2240400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240400440 is an abundant number, since it is smaller than the sum of its proper divisors (2800500640).

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

2240400440 is a wasteful number, since it uses less digits than its factorization.

2240400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56010022 (or 56010018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240400440 is about 47332.8684953701. The cubic root of 2240400440 is about 1308.5044876318.

Adding to 2240400440 its reverse (440040422), we get a palindrome (2680440862).

The spelling of 2240400440 in words is "two billion, two hundred forty million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 56010011 112020022 224040044 280050055 448080088 560100110 1120200220 2240400440