1008222600 has 384 divisors, whose sum is σ = 3949747200. Its totient is φ = 206668800.

The previous prime is 1008222599. The next prime is 1008222601. The reversal of 1008222600 is 62228001.

It is an interprime number because it is at equal distance from previous prime (1008222599) and next prime (1008222601).

It is a super-2 number, since 2×1008222600² = 2033025622301520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1008222601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6421722 + ... + 6421878.

It is an arithmetic number, because the mean of its divisors is an integer number (10285800).

Almost surely, 2^1008222600 is an apocalyptic number.

1008222600 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 1008222600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974873600).

1008222600 is an abundant number, since it is smaller than the sum of its proper divisors (2941524600).

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

1008222600 is a wasteful number, since it uses less digits than its factorization.

1008222600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1008222600 is about 31752.5211597442. The cubic root of 1008222600 is about 1002.7333884468.

The spelling of 1008222600 in words is "one billion, eight million, two hundred twenty-two thousand, six hundred".