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2330332224 = 263112372711
BaseRepresentation
bin1000101011100110…
…0000110001000000
320000101221010211220
42022321200301000
514233031112344
61023123035040
7111514332333
oct21271406100
96011833756
102330332224
11a96459100
1255050ba80
132b1a3540c
141816c661a
15d98b3c19
hex8ae60c40

2330332224 has 168 divisors, whose sum is σ = 6962875584. Its totient is φ = 686822400.

The previous prime is 2330332223. The next prime is 2330332231. The reversal of 2330332224 is 4222330332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2330332194 and 2330332203.

It is not an unprimeable number, because it can be changed into a prime (2330332223) 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 23 ways as a sum of consecutive naturals, for example, 858229 + ... + 860939.

It is an arithmetic number, because the mean of its divisors is an integer number (41445688).

Almost surely, 22330332224 is an apocalyptic number.

2330332224 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 2330332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481437792).

2330332224 is an abundant number, since it is smaller than the sum of its proper divisors (4632543360).

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

2330332224 is a wasteful number, since it uses less digits than its factorization.

2330332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2330332224 is about 48273.5147259861. The cubic root of 2330332224 is about 1325.7835117226.

Adding to 2330332224 its reverse (4222330332), we get a palindrome (6552662556).

The spelling of 2330332224 in words is "two billion, three hundred thirty million, three hundred thirty-two thousand, two hundred twenty-four".