Base | Representation |
---|---|
bin | 101010010110… |
… | …0011000101100 |
3 | 1112202222021121 |
4 | 1110230120230 |
5 | 21140430100 |
6 | 2111510324 |
7 | 356466400 |
oct | 124543054 |
9 | 45688247 |
10 | 22201900 |
11 | 11594686 |
12 | 75283a4 |
13 | 47a4726 |
14 | 2d3d100 |
15 | 1e3851a |
hex | 152c62c |
22201900 has 108 divisors (see below), whose sum is σ = 58777488. Its totient is φ = 7244160.
The previous prime is 22201891. The next prime is 22201903. The reversal of 22201900 is 910222.
It is a happy number.
It is a super-2 number, since 2×222019002 = 985848727220000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (22201903) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112602 + ... + 112798.
It is an arithmetic number, because the mean of its divisors is an integer number (544236).
Almost surely, 222201900 is an apocalyptic number.
22201900 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 22201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29388744).
22201900 is an abundant number, since it is smaller than the sum of its proper divisors (36575588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22201900 is a wasteful number, since it uses less digits than its factorization.
22201900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 248 (or 234 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
The square root of 22201900 is about 4711.8892177130. The cubic root of 22201900 is about 281.0584934988.
It can be divided in two parts, 22201 and 900, that multiplied together give a square (19980900 = 44702).
The spelling of 22201900 in words is "twenty-two million, two hundred one thousand, nine hundred".
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