1005722000 has 40 divisors (see below), whose sum is σ = 2431840632. Its totient is φ = 402288000.

The previous prime is 1005721999. The next prime is 1005722051. The reversal of 1005722000 is 2275001.

1005722000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 270010624 + 735711376 = 16432^2 + 27124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1005722000² = 2022953482568000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005722000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249431 + ... + 253430.

Almost surely, 2^1005722000 is an apocalyptic number.

1005722000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005722000 is an abundant number, since it is smaller than the sum of its proper divisors (1426118632).

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

1005722000 is an equidigital number, since it uses as much as digits as its factorization.

1005722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502884 (or 502868 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 1005722000 is about 31713.1203132079. The cubic root of 1005722000 is about 1001.9037069335.

Adding to 1005722000 its reverse (2275001), we get a palindrome (1007997001).

The spelling of 1005722000 in words is "one billion, five million, seven hundred twenty-two thousand".