| Base | Representation |
|---|---|
| bin | 11001010100101… |
| … | …01110101110100 |
| 3 | 112210201100211100 |
| 4 | 30222111311310 |
| 5 | 413340113400 |
| 6 | 33025010100 |
| 7 | 5156410035 |
| oct | 1452256564 |
| 9 | 483640740 |
| 10 | 212426100 |
| 11 | a99aa967 |
| 12 | 5b183930 |
| 13 | 35018223 |
| 14 | 202d8a8c |
| 15 | 139b1100 |
| hex | ca95d74 |
212426100 has 108 divisors (see below), whose sum is σ = 669355596. Its totient is φ = 56348160.
The previous prime is 212426083. The next prime is 212426119. The reversal of 212426100 is 1624212.
212426100 is a `hidden beast` number, since 2 + 12 + 42 + 610 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 82192356 + 130233744 = 9066^2 + 11412^2 .
It is a super-2 number, since 2×2124261002 = 90249695922420000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209194 + ... + 210206.
It is an arithmetic number, because the mean of its divisors is an integer number (6197737).
Almost surely, 2212426100 is an apocalyptic number.
212426100 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 212426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334677798).
212426100 is an abundant number, since it is smaller than the sum of its proper divisors (456929496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212426100 is a wasteful number, since it uses less digits than its factorization.
212426100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 212426100 is about 14574.8447676124. The cubic root of 212426100 is about 596.6724127213.
It can be divided in two parts, 2124 and 26100, that added together give a square (28224 = 1682).
The spelling of 212426100 in words is "two hundred twelve million, four hundred twenty-six thousand, one hundred".
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