1022442000 has 320 divisors, whose sum is σ = 3565486080. Its totient is φ = 251328000.

The previous prime is 1022441957. The next prime is 1022442019. The reversal of 1022442000 is 2442201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4277881 + ... + 4278119.

It is an arithmetic number, because the mean of its divisors is an integer number (11142144).

Almost surely, 2^1022442000 is an apocalyptic number.

1022442000 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 1022442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782743040).

1022442000 is an abundant number, since it is smaller than the sum of its proper divisors (2543044080).

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

1022442000 is a wasteful number, since it uses less digits than its factorization.

1022442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1022442000 is about 31975.6469832903. The cubic root of 1022442000 is about 1007.4253937247.

Adding to 1022442000 its reverse (2442201), we get a palindrome (1024884201).

The spelling of 1022442000 in words is "one billion, twenty-two million, four hundred forty-two thousand".