1309630224 has 160 divisors (see below), whose sum is σ = 4132235520. Its totient is φ = 348880896.

The previous prime is 1309630219. The next prime is 1309630243. The reversal of 1309630224 is 4220369031.

It is a super-2 number, since 2×1309630224² = 3430262647228580352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1309630191 and 1309630200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644442 + ... + 646470.

It is an arithmetic number, because the mean of its divisors is an integer number (25826472).

Almost surely, 2^1309630224 is an apocalyptic number.

1309630224 is a gapful number since it is divisible by the number (14) 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 1309630224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066117760).

1309630224 is an abundant number, since it is smaller than the sum of its proper divisors (2822605296).

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

1309630224 is a wasteful number, since it uses less digits than its factorization.

1309630224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1309630224 is about 36188.8135202026. The cubic root of 1309630224 is about 1094.0812192452.

Adding to 1309630224 its reverse (4220369031), we get a palindrome (5529999255).

The spelling of 1309630224 in words is "one billion, three hundred nine million, six hundred thirty thousand, two hundred twenty-four".