| Base | Representation |
|---|---|
| bin | 11010010111111… |
| … | …10001010110000 |
| 3 | 120102022021000100 |
| 4 | 31023332022300 |
| 5 | 423114221112 |
| 6 | 33541552400 |
| 7 | 5324345334 |
| oct | 1513761260 |
| 9 | 512267010 |
| 10 | 221242032 |
| 11 | 103981460 |
| 12 | 62115700 |
| 13 | 36ab3b5b |
| 14 | 215517c4 |
| 15 | 146532dc |
| hex | d2fe2b0 |
221242032 has 120 divisors (see below), whose sum is σ = 679844880. Its totient is φ = 66608640.
The previous prime is 221242003. The next prime is 221242039. The reversal of 221242032 is 230242122.
221242032 is a `hidden beast` number, since 2 + 212 + 420 + 32 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 221241996 and 221242014.
It is not an unprimeable number, because it can be changed into a prime (221242039) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311694 + ... + 312402.
It is an arithmetic number, because the mean of its divisors is an integer number (5665374).
Almost surely, 2221242032 is an apocalyptic number.
221242032 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 221242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339922440).
221242032 is an abundant number, since it is smaller than the sum of its proper divisors (458602848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221242032 is a wasteful number, since it uses less digits than its factorization.
221242032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 931 (or 922 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 221242032 is about 14874.2069368420. The cubic root of 221242032 is about 604.8149897603.
Adding to 221242032 its reverse (230242122), we get a palindrome (451484154).
It can be divided in two parts, 2212 and 42032, that added together give a palindrome (44244).
The spelling of 221242032 in words is "two hundred twenty-one million, two hundred forty-two thousand, thirty-two".
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