221656371253220 has 12 divisors (see below), whose sum is σ = 465478379631804. Its totient is φ = 88662548501280.

The previous prime is 221656371253157. The next prime is 221656371253231. The reversal of 221656371253220 is 22352173656122.

It can be written as a sum of positive squares in 2 ways, for example, as 103855217319844 + 117801153933376 = 10190938^2 + 10853624^2 .

It is a super-3 number, since 3×221656371253220³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5541409281311 + ... + 5541409281350.

It is an arithmetic number, because the mean of its divisors is an integer number (38789864969317).

Almost surely, 2^{221656371253220} is an apocalyptic number.

221656371253220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221656371253220 is an abundant number, since it is smaller than the sum of its proper divisors (243822008378584).

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

221656371253220 is a wasteful number, since it uses less digits than its factorization.

221656371253220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11082818562670 (or 11082818562668 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 221656371253220 in words is "two hundred twenty-one trillion, six hundred fifty-six billion, three hundred seventy-one million, two hundred fifty-three thousand, two hundred twenty".