| Base | Representation |
|---|---|
| bin | 1100111010111101111… |
| … | …1000000111010000000 |
| 3 | 210012222200121011000000 |
| 4 | 3032233133000322000 |
| 5 | 12114112243200242 |
| 6 | 245551334000000 |
| 7 | 22016025255606 |
| oct | 3165737007200 |
| 9 | 705880534000 |
| 10 | 221987475072 |
| 11 | 86165162700 |
| 12 | 370331a6000 |
| 13 | 17c196a725c |
| 14 | aa5c321876 |
| 15 | 5b9392ba4c |
| hex | 33af7c0e80 |
221987475072 has 336 divisors, whose sum is σ = 728852545890. Its totient is φ = 67265510400.
The previous prime is 221987475071. The next prime is 221987475113. The reversal of 221987475072 is 270574789122.
221987475072 is a `hidden beast` number, since 2 + 2 + 1 + 98 + 7 + 47 + 507 + 2 = 666.
221987475072 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 only one way, i.e., 184948163136 + 37039311936 = 430056^2 + 192456^2 .
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 (221987475071) 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 41 ways as a sum of consecutive naturals, for example, 11280922 + ... + 11300582.
Almost surely, 2221987475072 is an apocalyptic number.
221987475072 is a gapful number since it is divisible by the number (22) 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 221987475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364426272945).
221987475072 is an abundant number, since it is smaller than the sum of its proper divisors (506865070818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221987475072 is an equidigital number, since it uses as much as digits as its factorization.
221987475072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19715 (or 19677 counting only the distinct ones).
The product of its (nonzero) digits is 3951360, while the sum is 54.
The spelling of 221987475072 in words is "two hundred twenty-one billion, nine hundred eighty-seven million, four hundred seventy-five thousand, seventy-two".
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