2230272 has 108 divisors (see below), whose sum is σ = 7080255. Its totient is φ = 675840.

The previous prime is 2230253. The next prime is 2230301. The reversal of 2230272 is 2720322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 1115136 = 1056^2 + 1056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1056.

It is a super-2 number, since 2×2230272² = 9948226387968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁶ + 3¹⁰ + 0 + 2²⁰ + 7³ + 2²⁰ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 202747 + ... + 202757.

2^2230272 is an apocalyptic number.

2230272 is a gapful number since it is divisible by the number (22) 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 2230272

2230272 is an abundant number, since it is smaller than the sum of its proper divisors (4849983).

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

2230272 is a wasteful number, since it uses less digits than its factorization.

2230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2230272 is about 1493.4095218660. The cubic root of 2230272 is about 130.6529672342.

Multiplying 2230272 by its sum of digits (18), we get a square (40144896 = 6336²).

2230272 divided by its sum of digits (18) gives a square (123904 = 352²).

Adding to 2230272 its reverse (2720322), we get a palindrome (4950594).

The spelling of 2230272 in words is "two million, two hundred thirty thousand, two hundred seventy-two".