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2234320200 = 2334527171961
BaseRepresentation
bin1000010100101101…
…0000010101001000
312202201021020010000
42011023100111020
514033441221300
61005413123000
7106240260030
oct20513202510
95681236100
102234320200
11a47240922
12524329460
13297b89b78
14172a528c0
15d124ac00
hex852d0548

2234320200 has 960 divisors, whose sum is σ = 10046678400. Its totient is φ = 447897600.

The previous prime is 2234320199. The next prime is 2234320201. The reversal of 2234320200 is 20234322.

It is an interprime number because it is at equal distance from previous prime (2234320199) and next prime (2234320201).

It is a super-2 number, since 2×22343202002 = 9984373512256080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2234320201) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 36628170 + ... + 36628230.

It is an arithmetic number, because the mean of its divisors is an integer number (10465290).

Almost surely, 22234320200 is an apocalyptic number.

2234320200 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 2234320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023339200).

2234320200 is an abundant number, since it is smaller than the sum of its proper divisors (7812358200).

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

2234320200 is a wasteful number, since it uses less digits than its factorization.

2234320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2234320200 is about 47268.5963404880. The cubic root of 2234320200 is about 1307.3196950448.

Adding to 2234320200 its reverse (20234322), we get a palindrome (2254554522).

The spelling of 2234320200 in words is "two billion, two hundred thirty-four million, three hundred twenty thousand, two hundred".