2230011729 has 81 divisors (see below), whose sum is σ = 3747246139. Its totient is φ = 1326021840.

The previous prime is 2230011701. The next prime is 2230011733. The reversal of 2230011729 is 9271100322.

The square root of 2230011729 is 47223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1607609025 + 622402704 = 40095^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 2230011729 - 2¹³ = 2230003537 is a prime.

It is a super-2 number, since 2×2230011729² = 9945904622955138882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2230011799) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42075667 + ... + 42075719.

Almost surely, 2^2230011729 is an apocalyptic number.

2230011729 is the 47223-rd square number.

2230011729 is the 23612-nd centered octagonal number.

It is an amenable number.

2230011729 is a deficient number, since it is larger than the sum of its proper divisors (1517234410).

2230011729 is an frugal number, since it uses more digits than its factorization.

2230011729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 2230011729 is about 1306.4788467011.

The spelling of 2230011729 in words is "two billion, two hundred thirty million, eleven thousand, seven hundred twenty-nine".