1226008224 has 300 divisors, whose sum is σ = 4227700554. Its totient is φ = 348509952.

The previous prime is 1226008219. The next prime is 1226008229. The reversal of 1226008224 is 4228006221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1226008219) and next prime (1226008229).

It can be written as a sum of positive squares in only one way, i.e., 700131600 + 525876624 = 26460^2 + 22932^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1226008229) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6223294 + ... + 6223490.

Almost surely, 2^1226008224 is an apocalyptic number.

1226008224 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 1226008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113850277).

1226008224 is an abundant number, since it is smaller than the sum of its proper divisors (3001692330).

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

1226008224 is an frugal number, since it uses more digits than its factorization.

1226008224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1226008224 is about 35014.4002376165. The cubic root of 1226008224 is about 1070.2809475668.

The spelling of 1226008224 in words is "one billion, two hundred twenty-six million, eight thousand, two hundred twenty-four".