| Base | Representation |
|---|---|
| bin | 110010010100101100001110… |
| … | …011101011111011100000000 |
| 3 | 1002000122101110012102101101200 |
| 4 | 302110230032131133130000 |
| 5 | 213002133431244422034 |
| 6 | 2102414533535301200 |
| 7 | 64422101025462306 |
| oct | 6224541635373400 |
| 9 | 1060571405371350 |
| 10 | 221324202342144 |
| 11 | 64580081348430 |
| 12 | 209a614367a800 |
| 13 | 9665a23860755 |
| 14 | 3c92211898276 |
| 15 | 1a8c23c9a9a99 |
| hex | c94b0e75f700 |
221324202342144 has 216 divisors, whose sum is σ = 707943319574400. Its totient is φ = 65931194910720.
The previous prime is 221324202342121. The next prime is 221324202342167. The reversal of 221324202342144 is 441243202423122.
221324202342144 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 24 + 202 + 3 + 421 + 4 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (221324202342121) and next prime (221324202342167).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 221324202342099 and 221324202342108.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 72511524 + ... + 75502115.
It is an arithmetic number, because the mean of its divisors is an integer number (3277515368400).
Almost surely, 2221324202342144 is an apocalyptic number.
221324202342144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
221324202342144 is an abundant number, since it is smaller than the sum of its proper divisors (486619117232256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221324202342144 is a wasteful number, since it uses less digits than its factorization.
221324202342144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 148013731 (or 148013714 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
Adding to 221324202342144 its reverse (441243202423122), we get a palindrome (662567404765266).
The spelling of 221324202342144 in words is "two hundred twenty-one trillion, three hundred twenty-four billion, two hundred two million, three hundred forty-two thousand, one hundred forty-four".
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