Search a number
1222221000 = 2335371121337

1222221000 has 768 divisors, whose sum is σ = 5298209280. Its totient is φ = 228096000.

The previous prime is 1222220971. The next prime is 1222221031. The reversal of 1222221000 is 1222221.

Adding to 1222221000 its reverse (1222221), we get a palindrome (1223443221).

1222221000 divided by its reverse (1222221) gives a cube (1000 = 103).

It can be divided in two parts, 1222 and 221000, that added together give a palindrome (222222).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33032982 + ... + 33033018.

It is an arithmetic number, because the mean of its divisors is an integer number (6898710).

Almost surely, 21222221000 is an apocalyptic number.

1222221000 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 1222221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649104640).

1222221000 is an abundant number, since it is smaller than the sum of its proper divisors (4075988280).

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

1222221000 is a wasteful number, since it uses less digits than its factorization.

1222221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1222221000 is about 34960.2774588532. The cubic root of 1222221000 is about 1069.1777536058.

The spelling of 1222221000 in words is "one billion, two hundred twenty-two million, two hundred twenty-one thousand".