Search a number
-
+
2240404320 = 253571160617
BaseRepresentation
bin1000010110001001…
…1101101101100000
312210010201022221210
42011202131231200
514042020414240
61010151350120
7106343060010
oct20542355540
95703638853
102240404320
11a4a716a20
12526382340
1329920a23b
14173797c40
15d1a4d780
hex8589db60

2240404320 has 192 divisors, whose sum is σ = 8798823936. Its totient is φ = 465530880.

The previous prime is 2240404297. The next prime is 2240404351. The reversal of 2240404320 is 234040422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6652 + ... + 67268.

It is an arithmetic number, because the mean of its divisors is an integer number (45827208).

Almost surely, 22240404320 is an apocalyptic number.

2240404320 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 2240404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399411968).

2240404320 is an abundant number, since it is smaller than the sum of its proper divisors (6558419616).

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

2240404320 is a wasteful number, since it uses less digits than its factorization.

2240404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60653 (or 60645 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2240404320 is about 47332.9094816704. The cubic root of 2240404320 is about 1308.5052430019.

Adding to 2240404320 its reverse (234040422), we get a palindrome (2474444742).

The spelling of 2240404320 in words is "two billion, two hundred forty million, four hundred four thousand, three hundred twenty".