| Base | Representation |
|---|---|
| bin | 1100111010110110111… |
| … | …0000001110011000010 |
| 3 | 210012220121212100220000 |
| 4 | 3032231232001303002 |
| 5 | 12114032202401300 |
| 6 | 245544355100430 |
| 7 | 22015215436131 |
| oct | 3165556016302 |
| 9 | 705817770800 |
| 10 | 221957856450 |
| 11 | 8614a472800 |
| 12 | 370252a1716 |
| 13 | 17c13506a45 |
| 14 | aa58411918 |
| 15 | 5b9102ac00 |
| hex | 33adb81cc2 |
221957856450 has 270 divisors, whose sum is σ = 678884476347. Its totient is φ = 53728012800.
The previous prime is 221957856433. The next prime is 221957856457. The reversal of 221957856450 is 54658759122.
221957856450 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 5 + 78 + 564 + 5 + 0 = 666.
221957856450 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 5 ways, for example, as 45010592649 + 176947263801 = 212157^2 + 420651^2 .
It is a tau number, because it is divible by the number of its divisors (270).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=333135.
It is a super-3 number, since 3×2219578564503 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (221957856457) by changing a digit.
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 134 ways as a sum of consecutive naturals, for example, 329803314 + ... + 329803986.
Almost surely, 2221957856450 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221957856450
221957856450 is an abundant number, since it is smaller than the sum of its proper divisors (456926619897).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221957856450 is an equidigital number, since it uses as much as digits as its factorization.
221957856450 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1392 (or 694 counting only the distinct ones).
The product of its (nonzero) digits is 6048000, while the sum is 54.
The spelling of 221957856450 in words is "two hundred twenty-one billion, nine hundred fifty-seven million, eight hundred fifty-six thousand, four hundred fifty".
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