Base | Representation |
---|---|
bin | 101010100010… |
… | …0010100010000 |
3 | 1112221221201222 |
4 | 1111010110100 |
5 | 21202044140 |
6 | 2113544212 |
7 | 360355226 |
oct | 125042420 |
9 | 45857658 |
10 | 22299920 |
11 | 11651295 |
12 | 7575068 |
13 | 480a226 |
14 | 2d66b16 |
15 | 1e575b5 |
hex | 1544510 |
22299920 has 80 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 7944192.
The previous prime is 22299919. The next prime is 22299923. The reversal of 22299920 is 2999222.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (22299923) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25409 + ... + 26271.
It is an arithmetic number, because the mean of its divisors is an integer number (723168).
Almost surely, 222299920 is an apocalyptic number.
22299920 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 22299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).
22299920 is an abundant number, since it is smaller than the sum of its proper divisors (35553520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22299920 is a wasteful number, since it uses less digits than its factorization.
22299920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 912 (or 906 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 35.
The square root of 22299920 is about 4722.2791107684. The cubic root of 22299920 is about 281.4715048446.
It can be divided in two parts, 2 and 2299920, that added together give a palindrome (2299922).
The spelling of 22299920 in words is "twenty-two million, two hundred ninety-nine thousand, nine hundred twenty".
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