1022314000 has 80 divisors (see below), whose sum is σ = 2602154880. Its totient is φ = 387388800.

The previous prime is 1022313997. The next prime is 1022314031. The reversal of 1022314000 is 4132201.

1022314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24549 + ... + 51451.

It is an arithmetic number, because the mean of its divisors is an integer number (32526936).

Almost surely, 2^1022314000 is an apocalyptic number.

1022314000 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 1022314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301077440).

1022314000 is an abundant number, since it is smaller than the sum of its proper divisors (1579840880).

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

1022314000 is a wasteful number, since it uses less digits than its factorization.

1022314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26945 (or 26929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1022314000 is about 31973.6453974207. The cubic root of 1022314000 is about 1007.3833519489.

Adding to 1022314000 its reverse (4132201), we get a palindrome (1026446201).

The spelling of 1022314000 in words is "one billion, twenty-two million, three hundred fourteen thousand".