221302022020224 has 64 divisors (see below), whose sum is σ = 587859910911840. Its totient is φ = 73764025860096.

The previous prime is 221302022020207. The next prime is 221302022020319. The reversal of 221302022020224 is 422020220203122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 221302022020194 and 221302022020203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4384522 + ... + 21490185.

Almost surely, 2^{221302022020224} is an apocalyptic number.

221302022020224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221302022020224 is an abundant number, since it is smaller than the sum of its proper divisors (366557888891616).

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

221302022020224 is a wasteful number, since it uses less digits than its factorization.

221302022020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896997 (or 25896985 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 221302022020224 its reverse (422020220203122), we get a palindrome (643322242223346).

The spelling of 221302022020224 in words is "two hundred twenty-one trillion, three hundred two billion, twenty-two million, twenty thousand, two hundred twenty-four".