221024034 has 48 divisors (see below), whose sum is σ = 597055680. Its totient is φ = 57408480.

The previous prime is 221024029. The next prime is 221024047. The reversal of 221024034 is 430420122.

221024034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221023998 and 221024016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78349 + ... + 81120.

It is an arithmetic number, because the mean of its divisors is an integer number (12438660).

Almost surely, 2^221024034 is an apocalyptic number.

221024034 is an abundant number, since it is smaller than the sum of its proper divisors (376031646).

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

221024034 is a wasteful number, since it uses less digits than its factorization.

221024034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159495 (or 159492 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221024034 is about 14866.8770762390. The cubic root of 221024034 is about 604.6162755803.

Adding to 221024034 its reverse (430420122), we get a palindrome (651444156).

It can be divided in two parts, 2210 and 24034, that added together give a square (26244 = 162²).

The spelling of 221024034 in words is "two hundred twenty-one million, twenty-four thousand, thirty-four".