Search a number
-
+
2223426240 = 26335797379
BaseRepresentation
bin1000010010000110…
…1100101011000000
312201221202202102000
42010201230223000
514023144114430
61004343424000
7106045545150
oct20441545300
95657682360
102223426240
11a41080052
12520755000
13295844439
14171418760
15d02e7e60
hex8486cac0

2223426240 has 448 divisors, whose sum is σ = 9080601600. Its totient is φ = 501645312.

The previous prime is 2223426197. The next prime is 2223426251. The reversal of 2223426240 is 426243222.

It is a happy number.

2223426240 is a `hidden beast` number, since 2 + 2 + 2 + 34 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5866371 + ... + 5866749.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 22223426240 is an apocalyptic number.

2223426240 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 2223426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540300800).

2223426240 is an abundant number, since it is smaller than the sum of its proper divisors (6857175360).

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

2223426240 is a wasteful number, since it uses less digits than its factorization.

2223426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2223426240 is about 47153.2208868069. The cubic root of 2223426240 is about 1305.1915163501.

Adding to 2223426240 its reverse (426243222), we get a palindrome (2649669462).

The spelling of 2223426240 in words is "two billion, two hundred twenty-three million, four hundred twenty-six thousand, two hundred forty".