Base | Representation |
---|---|
bin | 101010101000… |
… | …1100100110000 |
3 | 1120001201020020 |
4 | 1111101210300 |
5 | 21210313344 |
6 | 2115043440 |
7 | 361002444 |
oct | 125214460 |
9 | 46051206 |
10 | 22354224 |
11 | 11689072 |
12 | 75a0580 |
13 | 4828b69 |
14 | 2d7c824 |
15 | 1e68719 |
hex | 1551930 |
22354224 has 80 divisors (see below), whose sum is σ = 60662784. Its totient is φ = 7084800.
The previous prime is 22354217. The next prime is 22354231. The reversal of 22354224 is 42245322.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (22354217) and next prime (22354231).
It is a super-2 number, since 2×223542242 = 999422661284352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 22354194 and 22354203.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123414 + ... + 123594.
Almost surely, 222354224 is an apocalyptic number.
22354224 is a gapful number since it is divisible by the number (24) 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 22354224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331392).
22354224 is an abundant number, since it is smaller than the sum of its proper divisors (38308560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22354224 is a wasteful number, since it uses less digits than its factorization.
22354224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 306 (or 300 counting only the distinct ones).
The product of its digits is 3840, while the sum is 24.
The square root of 22354224 is about 4728.0253806425. The cubic root of 22354224 is about 281.6997962191.
Adding to 22354224 its reverse (42245322), we get a palindrome (64599546).
It can be divided in two parts, 22354 and 224, that added together give a triangular number (22578 = T212).
The spelling of 22354224 in words is "twenty-two million, three hundred fifty-four thousand, two hundred twenty-four".
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