Base | Representation |
---|---|
bin | 101010011011… |
… | …1111000101000 |
3 | 1112212100220001 |
4 | 1110313320220 |
5 | 21143432000 |
6 | 2112512344 |
7 | 360053614 |
oct | 124677050 |
9 | 45770801 |
10 | 22249000 |
11 | 11617004 |
12 | 754b6b4 |
13 | 47bccb7 |
14 | 2d52344 |
15 | 1e4746a |
hex | 1537e28 |
22249000 has 64 divisors (see below), whose sum is σ = 54849600. Its totient is φ = 8424000.
The previous prime is 22248997. The next prime is 22249009. The reversal of 22249000 is 94222.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is not an unprimeable number, because it can be changed into a prime (22249009) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 18415 + ... + 19585.
It is an arithmetic number, because the mean of its divisors is an integer number (857025).
Almost surely, 222249000 is an apocalyptic number.
22249000 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 22249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27424800).
22249000 is an abundant number, since it is smaller than the sum of its proper divisors (32600600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22249000 is a wasteful number, since it uses less digits than its factorization.
22249000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1211 (or 1197 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
The square root of 22249000 is about 4716.8845650493. The cubic root of 22249000 is about 281.2571027013.
The spelling of 22249000 in words is "twenty-two million, two hundred forty-nine thousand".
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