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561122000 = 2453280561
BaseRepresentation
bin100001011100100…
…000101011010000
31110002211221200022
4201130200223100
52122121401000
6131402443012
716622313125
oct4134405320
91402757608
10561122000
1126881429a
12137b03468
138c33596a
145474674c
15343dd585
hex21720ad0

561122000 has 40 divisors (see below), whose sum is σ = 1356797832. Its totient is φ = 224448000.

The previous prime is 561121999. The next prime is 561122021. The reversal of 561122000 is 221165.

It can be written as a sum of positive squares in 4 ways, for example, as 174134416 + 386987584 = 13196^2 + 19672^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 561122000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138281 + ... + 142280.

Almost surely, 2561122000 is an apocalyptic number.

561122000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561122000 is an abundant number, since it is smaller than the sum of its proper divisors (795675832).

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

561122000 is a wasteful number, since it uses less digits than its factorization.

561122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280584 (or 280568 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 561122000 is about 23688.0138466694. The cubic root of 561122000 is about 824.8071786895.

Adding to 561122000 its reverse (221165), we get a palindrome (561343165).

The spelling of 561122000 in words is "five hundred sixty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 280561 561122 1122244 1402805 2244488 2805610 4488976 5611220 7014025 11222440 14028050 22444880 28056100 35070125 56112200 70140250 112224400 140280500 280561000 561122000