Base | Representation |
---|---|
bin | 101010101010… |
… | …0001100001100 |
3 | 1120002020221010 |
4 | 1111110030030 |
5 | 21211134230 |
6 | 2115205220 |
7 | 361045623 |
oct | 125241414 |
9 | 46066833 |
10 | 22364940 |
11 | 11696124 |
12 | 75a6810 |
13 | 48309c0 |
14 | 2d826ba |
15 | 1e6b9b0 |
hex | 155430c |
22364940 has 96 divisors (see below), whose sum is σ = 68838336. Its totient is φ = 5391360.
The previous prime is 22364939. The next prime is 22364941. The reversal of 22364940 is 4946322.
It is an interprime number because it is at equal distance from previous prime (22364939) and next prime (22364941).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 22364898 and 22364907.
It is not an unprimeable number, because it can be changed into a prime (22364941) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41070 + ... + 41610.
It is an arithmetic number, because the mean of its divisors is an integer number (717066).
Almost surely, 222364940 is an apocalyptic number.
22364940 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 22364940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34419168).
22364940 is an abundant number, since it is smaller than the sum of its proper divisors (46473396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22364940 is a wasteful number, since it uses less digits than its factorization.
22364940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 619 (or 617 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 30.
The square root of 22364940 is about 4729.1584875113. The cubic root of 22364940 is about 281.7448020725.
The spelling of 22364940 in words is "twenty-two million, three hundred sixty-four thousand, nine hundred forty".
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