221692760192 has 24 divisors (see below), whose sum is σ = 441664158285. Its totient is φ = 110843716608.

The previous prime is 221692760141. The next prime is 221692760197. The reversal of 221692760192 is 291067296122.

It is a happy number.

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 2 ways, for example, as 113019681856 + 108673078336 = 336184^2 + 329656^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332936.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221692760197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5306168 + ... + 5347784.

Almost surely, 2^221692760192 is an apocalyptic number.

It is an amenable number.

221692760192 is a deficient number, since it is larger than the sum of its proper divisors (219971398093).

221692760192 is an frugal number, since it uses more digits than its factorization.

221692760192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83248 (or 41619 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 221692760192 in words is "two hundred twenty-one billion, six hundred ninety-two million, seven hundred sixty thousand, one hundred ninety-two".