Base | Representation |
---|---|
bin | 101011110001… |
… | …1000100000000 |
3 | 1121011222200100 |
4 | 1113203010000 |
5 | 21333401034 |
6 | 2135522400 |
7 | 366034020 |
oct | 127430400 |
9 | 47158610 |
10 | 22950144 |
11 | 11a55868 |
12 | 7829400 |
13 | 49a7189 |
14 | 3095a80 |
15 | 2035099 |
hex | 15e3100 |
22950144 has 108 divisors (see below), whose sum is σ = 75677056. Its totient is φ = 6552576.
The previous prime is 22950139. The next prime is 22950149. The reversal of 22950144 is 44105922.
It is an interprime number because it is at equal distance from previous prime (22950139) and next prime (22950149).
It is not an unprimeable number, because it can be changed into a prime (22950149) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15417 + ... + 16839.
Almost surely, 222950144 is an apocalyptic number.
22950144 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 22950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37838528).
22950144 is an abundant number, since it is smaller than the sum of its proper divisors (52726912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22950144 is a wasteful number, since it uses less digits than its factorization.
22950144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1452 (or 1435 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 22950144 is about 4790.6308561608. The cubic root of 22950144 is about 284.1810655189.
The spelling of 22950144 in words is "twenty-two million, nine hundred fifty thousand, one hundred forty-four".
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