Base | Representation |
---|---|
bin | 101010101100… |
… | …0110101110000 |
3 | 1120010020001110 |
4 | 1111120311300 |
5 | 21212241414 |
6 | 2115433320 |
7 | 361155300 |
oct | 125306560 |
9 | 46106043 |
10 | 22383984 |
11 | 116a9467 |
12 | 75b5840 |
13 | 483957c |
14 | 2d89600 |
15 | 1e72459 |
hex | 1558d70 |
22383984 has 120 divisors (see below), whose sum is σ = 69662208. Its totient is φ = 6168960.
The previous prime is 22383979. The next prime is 22383989. The reversal of 22383984 is 48938322.
It is an interprime number because it is at equal distance from previous prime (22383979) and next prime (22383989).
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22383989) 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, 72759 + ... + 73065.
Almost surely, 222383984 is an apocalyptic number.
22383984 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 22383984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34831104).
22383984 is an abundant number, since it is smaller than the sum of its proper divisors (47278224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22383984 is a wasteful number, since it uses less digits than its factorization.
22383984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 363 (or 350 counting only the distinct ones).
The product of its digits is 82944, while the sum is 39.
The square root of 22383984 is about 4731.1715251088. The cubic root of 22383984 is about 281.8247490161.
The spelling of 22383984 in words is "twenty-two million, three hundred eighty-three thousand, nine hundred eighty-four".
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