Search a number
-
+
2200720 = 24527509
BaseRepresentation
bin1000011001010010010000
311010210211011
420121102100
51030410340
6115100304
724464044
oct10312220
94123734
102200720
111273485
128a1694
135c0902
14414024
152d70ea
hex219490

2200720 has 20 divisors (see below), whose sum is σ = 5116860. Its totient is φ = 880256.

The previous prime is 2200717. The next prime is 2200727. The reversal of 2200720 is 270022.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 1806336 = 628^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2200720.

It is not an unprimeable number, because it can be changed into a prime (2200727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13675 + ... + 13834.

It is an arithmetic number, because the mean of its divisors is an integer number (255843).

22200720 is an apocalyptic number.

2200720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200720 is an abundant number, since it is smaller than the sum of its proper divisors (2916140).

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

2200720 is a wasteful number, since it uses less digits than its factorization.

2200720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27522 (or 27516 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2200720 is about 1483.4823895146. The cubic root of 2200720 is about 130.0733314079.

Adding to 2200720 its reverse (270022), we get a palindrome (2470742).

The spelling of 2200720 in words is "two million, two hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27509 55018 110036 137545 220072 275090 440144 550180 1100360 2200720