| Base | Representation |
|---|---|
| bin | 101010100101… |
| … | …0101011110000 |
| 3 | 1120000021111220 |
| 4 | 1111022223300 |
| 5 | 21203413000 |
| 6 | 2114305040 |
| 7 | 360524244 |
| oct | 125125360 |
| 9 | 46007456 |
| 10 | 22326000 |
| 11 | 11669944 |
| 12 | 7588180 |
| 13 | 4819068 |
| 14 | 2d72424 |
| 15 | 1e601a0 |
| hex | 154aaf0 |
22326000 has 120 divisors (see below), whose sum is σ = 73178352. Its totient is φ = 5856000.
The previous prime is 22325959. The next prime is 22326001. The reversal of 22326000 is 62322.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×223260003 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a zygodrome in base 11.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22326001) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365970 + ... + 366030.
Almost surely, 222326000 is an apocalyptic number.
22326000 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 22326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36589176).
22326000 is an abundant number, since it is smaller than the sum of its proper divisors (50852352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22326000 is an equidigital number, since it uses as much as digits as its factorization.
22326000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 148 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 22326000 is about 4725.0396823730. The cubic root of 22326000 is about 281.5811900960.
Multiplying 22326000 by its sum of digits (15), we get a square (334890000 = 183002).
22326000 divided by its sum of digits (15) gives a square (1488400 = 12202).
Adding to 22326000 its reverse (62322), we get a palindrome (22388322).
The spelling of 22326000 in words is "twenty-two million, three hundred twenty-six thousand".
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