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3130804224 = 21138233
BaseRepresentation
bin1011101010011100…
…0100100000000000
322002012011100000000
42322213010200000
522402441213344
61234400000000
7140404253052
oct27247044000
98065140000
103130804224
111367291609
12734600000
133ab8220a2
14219b358d2
15134cd0a69
hexba9c4800

3130804224 has 216 divisors, whose sum is σ = 9429941430. Its totient is φ = 1039122432.

The previous prime is 3130804189. The next prime is 3130804267. The reversal of 3130804224 is 4224080313.

It can be written as a sum of positive squares in only one way, i.e., 2962842624 + 167961600 = 54432^2 + 12960^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 17 ways as a sum of consecutive naturals, for example, 13436812 + ... + 13437044.

Almost surely, 23130804224 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 3130804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714970715).

3130804224 is an abundant number, since it is smaller than the sum of its proper divisors (6299137206).

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

3130804224 is an frugal number, since it uses more digits than its factorization.

3130804224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3130804224 is about 55953.5899116402. The cubic root of 3130804224 is about 1462.9134641634.

Adding to 3130804224 its reverse (4224080313), we get a palindrome (7354884537).

The spelling of 3130804224 in words is "three billion, one hundred thirty million, eight hundred four thousand, two hundred twenty-four".