| Base | Representation |
|---|---|
| bin | 110010011110011110111111… |
| … | …011000010110101010000000 |
| 3 | 1002010000201112112220000100000 |
| 4 | 302132132333120112222000 |
| 5 | 213044200213434221424 |
| 6 | 2104052033223200000 |
| 7 | 64521524130553152 |
| oct | 6236367730265200 |
| 9 | 1063021475800300 |
| 10 | 221997185460864 |
| 11 | 6480a528813270 |
| 12 | 20a946602a6000 |
| 13 | 96b43249890b8 |
| 14 | 3cb6a14a04ad2 |
| 15 | 1a9e9c9c953c9 |
| hex | c9e7bf616a80 |
221997185460864 has 768 divisors, whose sum is σ = 733659212482560. Its totient is φ = 66254282035200.
The previous prime is 221997185460847. The next prime is 221997185460877. The reversal of 221997185460864 is 468064581799122.
It is a happy number.
221997185460864 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 9 + 7 + 1 + 8 + 5 + 4 + 608 + 6 + 4 = 666.
It is a super-3 number, since 3×2219971854608643 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 221997185460792 and 221997185460801.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25822629814 + ... + 25822638410.
It is an arithmetic number, because the mean of its divisors is an integer number (955285432920).
Almost surely, 2221997185460864 is an apocalyptic number.
221997185460864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221997185460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366829606241280).
221997185460864 is an abundant number, since it is smaller than the sum of its proper divisors (511662027021696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221997185460864 is a wasteful number, since it uses less digits than its factorization.
221997185460864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9771 (or 9747 counting only the distinct ones).
The product of its (nonzero) digits is 418037760, while the sum is 72.
The spelling of 221997185460864 in words is "two hundred twenty-one trillion, nine hundred ninety-seven billion, one hundred eighty-five million, four hundred sixty thousand, eight hundred sixty-four".
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