307225152 has 168 divisors, whose sum is σ = 961080120. Its totient is φ = 93265920.

The previous prime is 307225151. The next prime is 307225189. The reversal of 307225152 is 251522703.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 306110016 = 1056^2 + 17496^2 .

It is not an unprimeable number, because it can be changed into a prime (307225151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666202 + ... + 666662.

It is an arithmetic number, because the mean of its divisors is an integer number (5720715).

Almost surely, 2^307225152 is an apocalyptic number.

307225152 is a gapful number since it is divisible by the number (32) 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 307225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480540060).

307225152 is an abundant number, since it is smaller than the sum of its proper divisors (653854968).

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

307225152 is a wasteful number, since it uses less digits than its factorization.

307225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 307225152 is about 17527.8393420296. The cubic root of 307225152 is about 674.7645466854.

Adding to 307225152 its reverse (251522703), we get a palindrome (558747855).

It can be divided in two parts, 3072 and 25152, that added together give a square (28224 = 168²).

The spelling of 307225152 in words is "three hundred seven million, two hundred twenty-five thousand, one hundred fifty-two".