Search a number
-
+
2240431104 = 21032337857
BaseRepresentation
bin1000010110001010…
…0100010000000000
312210010202200200210
42011202210100000
514042022243404
61010152114120
7106343231052
oct20542442000
95703680623
102240431104
11a4a73505a
12526395940
132992194a2
141737a38d2
15d1a56689
hex858a4400

2240431104 has 176 divisors, whose sum is σ = 6407077248. Its totient is φ = 694222848.

The previous prime is 2240431103. The next prime is 2240431117. The reversal of 2240431104 is 4011340422.

It is not an unprimeable number, because it can be changed into a prime (2240431103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2613844 + ... + 2614700.

It is an arithmetic number, because the mean of its divisors is an integer number (36403848).

Almost surely, 22240431104 is an apocalyptic number.

2240431104 is a gapful number since it is divisible by the number (24) 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 2240431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203538624).

2240431104 is an abundant number, since it is smaller than the sum of its proper divisors (4166646144).

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

2240431104 is a wasteful number, since it uses less digits than its factorization.

2240431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2240431104 is about 47333.1924129358. The cubic root of 2240431104 is about 1308.5104573680.

Adding to 2240431104 its reverse (4011340422), we get a palindrome (6251771526).

The spelling of 2240431104 in words is "two billion, two hundred forty million, four hundred thirty-one thousand, one hundred four".