1308225200 has 60 divisors (see below), whose sum is σ = 3147820848. Its totient is φ = 522489600.

The previous prime is 1308225199. The next prime is 1308225209. The reversal of 1308225200 is 25228031.

It is a super-2 number, since 2×1308225200² = 3422906347830080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1308225209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307085 + ... + 311315.

Almost surely, 2^1308225200 is an apocalyptic number.

1308225200 is a gapful number since it is divisible by the number (10) 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 1308225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573910424).

1308225200 is an abundant number, since it is smaller than the sum of its proper divisors (1839595648).

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

1308225200 is a wasteful number, since it uses less digits than its factorization.

1308225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1308225200 is about 36169.3959031665. The cubic root of 1308225200 is about 1093.6898211244.

The spelling of 1308225200 in words is "one billion, three hundred eight million, two hundred twenty-five thousand, two hundred".