Search a number
-
+
5230724200 = 23521329173401
BaseRepresentation
bin1001101111100011…
…01000010001101000
3111111112112022122221
410313301220101220
541203031133300
62223012323424
7243423264532
oct46761502150
914445468587
105230724200
112244675569
12101b913574
136548b26a0
143789a0852
1520932e31a
hex137c68468

5230724200 has 192 divisors, whose sum is σ = 13660844400. Its totient is φ = 1849344000.

The previous prime is 5230724179. The next prime is 5230724201. The reversal of 5230724200 is 24270325.

It can be written as a sum of positive squares in 24 ways, for example, as 339959844 + 4890764356 = 18438^2 + 69934^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5230724201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13044000 + ... + 13044400.

Almost surely, 25230724200 is an apocalyptic number.

5230724200 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 5230724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830422200).

5230724200 is an abundant number, since it is smaller than the sum of its proper divisors (8430120200).

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

5230724200 is a wasteful number, since it uses less digits than its factorization.

5230724200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 5230724200 is about 72323.7457547658. The cubic root of 5230724200 is about 1735.8836283280.

Adding to 5230724200 its reverse (24270325), we get a palindrome (5254994525).

The spelling of 5230724200 in words is "five billion, two hundred thirty million, seven hundred twenty-four thousand, two hundred".