Base | Representation |
---|---|
bin | 111111001111110… |
… | …1000101000010100 |
3 | 12110220100001102112 |
4 | 1332133220220110 |
5 | 13321242101400 |
6 | 550330330152 |
7 | 103406406305 |
oct | 17637505024 |
9 | 5426301375 |
10 | 2122222100 |
11 | 999a36969 |
12 | 4b2889958 |
13 | 27a89b82b |
14 | 161bd27ac |
15 | c64a6835 |
hex | 7e7e8a14 |
2122222100 has 72 divisors (see below), whose sum is σ = 4896040800. Its totient is φ = 796176000.
The previous prime is 2122222099. The next prime is 2122222127. The reversal of 2122222100 is 12222212.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186371 + ... + 197429.
Almost surely, 22122222100 is an apocalyptic number.
2122222100 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 2122222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448020400).
2122222100 is an abundant number, since it is smaller than the sum of its proper divisors (2773818700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122222100 is a wasteful number, since it uses less digits than its factorization.
2122222100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11193 (or 11186 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 2122222100 is about 46067.5818770640. The cubic root of 2122222100 is about 1285.0803343217.
Adding to 2122222100 its reverse (12222212), we get a palindrome (2134444312).
The spelling of 2122222100 in words is "two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".
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