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2323625616 = 24341321032
BaseRepresentation
bin1000101001111111…
…1011011010010000
312222221022102010000
42022133323122100
514224322004431
61022323210000
7111403330464
oct21237733220
95887272100
102323625616
11a92698354
1254a216900
132b0527900
1418085c4a4
15d8edb9e6
hex8a7fb690

2323625616 has 225 divisors, whose sum is σ = 7353756729. Its totient is φ = 708020352.

The previous prime is 2323625611. The next prime is 2323625639. The reversal of 2323625616 is 6165263232.

The square root of 2323625616 is 48204.

It is a perfect power (a square), and thus also a powerful number.

2323625616 is a `hidden beast` number, since 2 + 3 + 2 + 36 + 2 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 343731600 + 1979894016 = 18540^2 + 44496^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2323625611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22559421 + ... + 22559523.

Almost surely, 22323625616 is an apocalyptic number.

2323625616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2323625616 is the 48204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323625616

2323625616 is an abundant number, since it is smaller than the sum of its proper divisors (5030131113).

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

2323625616 is a wasteful number, since it uses less digits than its factorization.

2323625616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 121 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The cubic root of 2323625616 is about 1324.5104380540.

Multiplying 2323625616 by its sum of digits (36), we get a square (83650522176 = 2892242).

2323625616 divided by its sum of digits (36) gives a square (64545156 = 80342).

Adding to 2323625616 its reverse (6165263232), we get a palindrome (8488888848).

The spelling of 2323625616 in words is "two billion, three hundred twenty-three million, six hundred twenty-five thousand, six hundred sixteen".