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5221192320 = 273251771751
BaseRepresentation
bin1001101110011010…
…10001001010000000
3111110212121001101100
410313031101022000
541143111123240
62222032134400
7243246255021
oct46715211200
914425531340
105221192320
11223a255083
121018697400
13652925c16
143775dcc48
15208599e30
hex137351280

5221192320 has 384 divisors, whose sum is σ = 19384634880. Its totient is φ = 1290240000.

The previous prime is 5221192297. The next prime is 5221192321. The reversal of 5221192320 is 232911225.

It is a happy number.

5221192320 is a `hidden beast` number, since 522 + 119 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (5221192321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6951945 + ... + 6952695.

It is an arithmetic number, because the mean of its divisors is an integer number (50480820).

Almost surely, 25221192320 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 5221192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9692317440).

5221192320 is an abundant number, since it is smaller than the sum of its proper divisors (14163442560).

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

5221192320 is a wasteful number, since it uses less digits than its factorization.

5221192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5221192320 is about 72257.8184005025. The cubic root of 5221192320 is about 1734.8285612120.

The spelling of 5221192320 in words is "five billion, two hundred twenty-one million, one hundred ninety-two thousand, three hundred twenty".