220935721444 has 27 divisors (see below), whose sum is σ = 388919491401. Its totient is φ = 109819678320.

The previous prime is 220935721417. The next prime is 220935721463. The reversal of 220935721444 is 444127539022.

The square root of 220935721444 is 470038.

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

220935721444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202624219044 + 18311502400 = 450138^2 + 135320^2 .

It is a super-3 number, since 3×220935721444³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220935721444.

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 8 ways as a sum of consecutive naturals, for example, 187074534 + ... + 187075714.

Almost surely, 2^220935721444 is an apocalyptic number.

220935721444 is the 470038-th square number.

It is an amenable number.

220935721444 is a deficient number, since it is larger than the sum of its proper divisors (167983769957).

220935721444 is an frugal number, since it uses more digits than its factorization.

220935721444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 220935721444 in words is "two hundred twenty billion, nine hundred thirty-five million, seven hundred twenty-one thousand, four hundred forty-four".