| Base | Representation |
|---|---|
| bin | 1100111010101101111… |
| … | …0001000011110010000 |
| 3 | 210012210222212220212100 |
| 4 | 3032223132020132100 |
| 5 | 12113443023310211 |
| 6 | 245540530400400 |
| 7 | 22014250011204 |
| oct | 3165336103620 |
| 9 | 705728786770 |
| 10 | 221920135056 |
| 11 | 861301490a4 |
| 12 | 37014730100 |
| 13 | 17c0875a3a9 |
| 14 | aa533d2b04 |
| 15 | 5b8ca79156 |
| hex | 33ab788790 |
221920135056 has 135 divisors (see below), whose sum is σ = 638909623443. Its totient is φ = 71906261760.
The previous prime is 221920135037. The next prime is 221920135097. The reversal of 221920135056 is 650531029122.
It is a happy number.
The square root of 221920135056 is 471084.
It is a perfect power (a square), and thus also a powerful number.
221920135056 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 4 ways, for example, as 74169075600 + 147751059456 = 272340^2 + 384384^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 221920135056.
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 26 ways as a sum of consecutive naturals, for example, 209160766 + ... + 209161826.
Almost surely, 2221920135056 is an apocalyptic number.
221920135056 is the 471084-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221920135056
221920135056 is an abundant number, since it is smaller than the sum of its proper divisors (416989488387).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221920135056 is an equidigital number, since it uses as much as digits as its factorization.
221920135056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2210 (or 1103 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
Multiplying 221920135056 by its sum of digits (36), we get a square (7989124862016 = 28265042).
221920135056 divided by its sum of digits (36) gives a square (6164448196 = 785142).
The spelling of 221920135056 in words is "two hundred twenty-one billion, nine hundred twenty million, one hundred thirty-five thousand, fifty-six".
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