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631722240 = 28365677
BaseRepresentation
bin100101101001110…
…101000100000000
31122000200211000000
4211221311010000
52243210102430
6142404000000
721440356542
oct4551650400
91560624000
10631722240
112a46552a6
12157690000
13a0b54756
145dc83692
153a6d6e60
hex25a75100

631722240 has 252 divisors, whose sum is σ = 2272071564. Its totient is φ = 168210432.

The previous prime is 631722233. The next prime is 631722251. The reversal of 631722240 is 42227136.

631722240 is a `hidden beast` number, since 631 + 7 + 2 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 485409024 + 146313216 = 22032^2 + 12096^2 .

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 27 ways as a sum of consecutive naturals, for example, 932782 + ... + 933458.

It is an arithmetic number, because the mean of its divisors is an integer number (9016157).

Almost surely, 2631722240 is an apocalyptic number.

631722240 is a gapful number since it is divisible by the number (60) 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 631722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136035782).

631722240 is an abundant number, since it is smaller than the sum of its proper divisors (1640349324).

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

631722240 is an frugal number, since it uses more digits than its factorization.

631722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 631722240 is about 25134.0852230591. The cubic root of 631722240 is about 858.0423471690.

Adding to 631722240 its reverse (42227136), we get a palindrome (673949376).

The spelling of 631722240 in words is "six hundred thirty-one million, seven hundred twenty-two thousand, two hundred forty".