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2241400000 = 265571601
BaseRepresentation
bin1000010110011001…
…0000110011000000
312210012120220202211
42011212100303000
514042244300000
61010224551504
7106354404610
oct20546206300
95705526684
102241400000
11a50236aa4
12526782594
132994984b8
14173976a40
15d1b987ba
hex85990cc0

2241400000 has 168 divisors, whose sum is σ = 6357530592. Its totient is φ = 768000000.

The previous prime is 2241399991. The next prime is 2241400033. The reversal of 2241400000 is 41422.

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 23 ways as a sum of consecutive naturals, for example, 1399200 + ... + 1400800.

It is an arithmetic number, because the mean of its divisors is an integer number (37842444).

Almost surely, 22241400000 is an apocalyptic number.

2241400000 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 2241400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178765296).

2241400000 is an abundant number, since it is smaller than the sum of its proper divisors (4116130592).

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

2241400000 is an frugal number, since it uses more digits than its factorization.

2241400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2241400000 is about 47343.4261540079. The cubic root of 2241400000 is about 1308.6990561650.

Adding to 2241400000 its reverse (41422), we get a palindrome (2241441422).

The spelling of 2241400000 in words is "two billion, two hundred forty-one million, four hundred thousand".