42224256 has 48 divisors (see below), whose sum is σ = 121508010. Its totient is φ = 14074368.

The previous prime is 42224249. The next prime is 42224257. The reversal of 42224256 is 65242224.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 37454400 + 4769856 = 6120^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×42224256³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42224257) 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 5 ways as a sum of consecutive naturals, for example, 17175 + ... + 19478.

Almost surely, 2^42224256 is an apocalyptic number.

It is an amenable number.

42224256 is an abundant number, since it is smaller than the sum of its proper divisors (79283754).

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

42224256 is a wasteful number, since it uses less digits than its factorization.

42224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36673 (or 36658 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 42224256 is about 6498.0193905528. The cubic root of 42224256 is about 348.2202331675.

The spelling of 42224256 in words is "forty-two million, two hundred twenty-four thousand, two hundred fifty-six".