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2299900064 = 25731143443
BaseRepresentation
bin1000100100010101…
…1011000010100000
312221021200000202212
42021011123002200
514202233300224
61020114501252
7110664554000
oct21105330240
95837600685
102299900064
11a80262a60
12542294828
132a863b817
1417b644000
15d6da1d0e
hex8915b0a0

2299900064 has 192 divisors, whose sum is σ = 5907686400. Its totient is φ = 873250560.

The previous prime is 2299900039. The next prime is 2299900067. The reversal of 2299900064 is 4600099922.

It is a junction number, because it is equal to n+sod(n) for n = 2299899994 and 2299900030.

It is not an unprimeable number, because it can be changed into a prime (2299900067) 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 31 ways as a sum of consecutive naturals, for example, 5191427 + ... + 5191869.

It is an arithmetic number, because the mean of its divisors is an integer number (30769200).

Almost surely, 22299900064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2299900064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953843200).

2299900064 is an abundant number, since it is smaller than the sum of its proper divisors (3607786336).

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

2299900064 is a wasteful number, since it uses less digits than its factorization.

2299900064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 2299900064 is about 47957.2733169850. The cubic root of 2299900064 is about 1319.9870032390.

Adding to 2299900064 its reverse (4600099922), we get a palindrome (6899999986).

The spelling of 2299900064 in words is "two billion, two hundred ninety-nine million, nine hundred thousand, sixty-four".