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5322013200 = 24335271741101
BaseRepresentation
bin1001111010011011…
…10111101000010000
3111201220022021122000
410331031313220100
541344413410300
62240033114000
7245612236320
oct47515675020
914656267560
105322013200
112291157319
1210463b8900
1366a79624a
14386b65280
15212362c00
hex13d377a10

5322013200 has 960 divisors, whose sum is σ = 23713482240. Its totient is φ = 1105920000.

The previous prime is 5322013199. The next prime is 5322013219. The reversal of 5322013200 is 23102235.

5322013200 is a `hidden beast` number, since 532 + 2 + 0 + 132 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 52693150 + ... + 52693250.

It is an arithmetic number, because the mean of its divisors is an integer number (24701544).

Almost surely, 25322013200 is an apocalyptic number.

5322013200 is a gapful number since it is divisible by the number (50) 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 5322013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856741120).

5322013200 is an abundant number, since it is smaller than the sum of its proper divisors (18391469040).

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

5322013200 is a wasteful number, since it uses less digits than its factorization.

5322013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5322013200 is about 72952.1295096997. The cubic root of 5322013200 is about 1745.9239229497.

Adding to 5322013200 its reverse (23102235), we get a palindrome (5345115435).

The spelling of 5322013200 in words is "five billion, three hundred twenty-two million, thirteen thousand, two hundred".