Search a number
-
+
5723200000 = 29557273
BaseRepresentation
bin1010101010010000…
…10001101000000000
3112202212012200110101
411111020101220000
543210114400000
62343524012144
7261553253200
oct52510215000
915685180411
105723200000
112477662961
121138831054
13702931a9b
143c4158400
152376ace6a
hex155211a00

5723200000 has 360 divisors, whose sum is σ = 16854444684. Its totient is φ = 1935360000.

The previous prime is 5723199961. The next prime is 5723200003. The reversal of 5723200000 is 23275.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 569108736 + 5154091264 = 23856^2 + 71792^2 .

It is not an unprimeable number, because it can be changed into a prime (5723200003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78399964 + ... + 78400036.

Almost surely, 25723200000 is an apocalyptic number.

5723200000 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 5723200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427222342).

5723200000 is an abundant number, since it is smaller than the sum of its proper divisors (11131244684).

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

5723200000 is an frugal number, since it uses more digits than its factorization.

5723200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 5723200000 is about 75651.8340821953. The cubic root of 5723200000 is about 1788.7362468651.

Adding to 5723200000 its reverse (23275), we get a palindrome (5723223275).

The spelling of 5723200000 in words is "five billion, seven hundred twenty-three million, two hundred thousand".