| Base | Representation |
|---|---|
| bin | 11010010110010… |
| … | …00011110010100 |
| 3 | 120101220002022201 |
| 4 | 31023020132110 |
| 5 | 423040201400 |
| 6 | 33533134244 |
| 7 | 5322441205 |
| oct | 1513103624 |
| 9 | 511802281 |
| 10 | 221022100 |
| 11 | 1038411a2 |
| 12 | 6202a384 |
| 13 | 36a37a10 |
| 14 | 214d55ac |
| 15 | 1460d06a |
| hex | d2c8794 |
221022100 has 144 divisors (see below), whose sum is σ = 558433008. Its totient is φ = 75202560.
The previous prime is 221022097. The next prime is 221022143. The reversal of 221022100 is 1220122.
It can be written as a sum of positive squares in 24 ways, for example, as 134977924 + 86044176 = 11618^2 + 9276^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1613232 + ... + 1613368.
It is an arithmetic number, because the mean of its divisors is an integer number (3878007).
Almost surely, 2221022100 is an apocalyptic number.
221022100 is a gapful number since it is divisible by the number (20) 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 221022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279216504).
221022100 is an abundant number, since it is smaller than the sum of its proper divisors (337410908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221022100 is a wasteful number, since it uses less digits than its factorization.
221022100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 254 (or 247 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 221022100 is about 14866.8120321742. The cubic root of 221022100 is about 604.6145120748.
Adding to 221022100 its reverse (1220122), we get a palindrome (222242222).
It can be divided in two parts, 221022 and 100, that added together give a palindrome (221122).
The spelling of 221022100 in words is "two hundred twenty-one million, twenty-two thousand, one hundred".
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