1014222400 has 84 divisors (see below), whose sum is σ = 2548908288. Its totient is φ = 397027840.

The previous prime is 1014222383. The next prime is 1014222439. The reversal of 1014222400 is 42224101.

1014222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68457 + ... + 81943.

Almost surely, 2^1014222400 is an apocalyptic number.

1014222400 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 1014222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274454144).

1014222400 is an abundant number, since it is smaller than the sum of its proper divisors (1534685888).

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

1014222400 is a wasteful number, since it uses less digits than its factorization.

1014222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13556 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1014222400 is about 31846.8585577919. The cubic root of 1014222400 is about 1004.7185007329.

Adding to 1014222400 its reverse (42224101), we get a palindrome (1056446501).

The spelling of 1014222400 in words is "one billion, fourteen million, two hundred twenty-two thousand, four hundred".