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2240020320 = 253529231179
BaseRepresentation
bin1000010110000011…
…1111111101100000
312210002222211012120
42011200333331200
514041421122240
61010135224240
7106336600326
oct20540777540
95702884176
102240020320
11a4a48446a
12526218080
13299104515
141736d7d16
15d19c4ad0
hex8583ff60

2240020320 has 288 divisors, whose sum is σ = 7585643520. Its totient is φ = 555018240.

The previous prime is 2240020303. The next prime is 2240020327. The reversal of 2240020320 is 230200422.

2240020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2240020320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240020327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12513991 + ... + 12514169.

It is an arithmetic number, because the mean of its divisors is an integer number (26339040).

Almost surely, 22240020320 is an apocalyptic number.

2240020320 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 2240020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792821760).

2240020320 is an abundant number, since it is smaller than the sum of its proper divisors (5345623200).

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

2240020320 is a wasteful number, since it uses less digits than its factorization.

2240020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2240020320 is about 47328.8529334908. The cubic root of 2240020320 is about 1308.4304804961.

Adding to 2240020320 its reverse (230200422), we get a palindrome (2470220742).

The spelling of 2240020320 in words is "two billion, two hundred forty million, twenty thousand, three hundred twenty".