Base | Representation |
---|---|
bin | 101011110010… |
… | …1000010011000 |
3 | 1121012101202220 |
4 | 1113211002120 |
5 | 21334130412 |
6 | 2140024040 |
7 | 366066423 |
oct | 127450230 |
9 | 47171686 |
10 | 22958232 |
11 | 11a60950 |
12 | 7832020 |
13 | 49aaa6b |
14 | 30989ba |
15 | 203768c |
hex | 15e5098 |
22958232 has 128 divisors (see below), whose sum is σ = 69120000. Its totient is φ = 6272640.
The previous prime is 22958219. The next prime is 22958233. The reversal of 22958232 is 23285922.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 22958193 and 22958202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22958233) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115269 + ... + 115467.
It is an arithmetic number, because the mean of its divisors is an integer number (540000).
Almost surely, 222958232 is an apocalyptic number.
22958232 is a gapful number since it is divisible by the number (22) 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 22958232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560000).
22958232 is an abundant number, since it is smaller than the sum of its proper divisors (46161768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22958232 is a wasteful number, since it uses less digits than its factorization.
22958232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 261 (or 257 counting only the distinct ones).
The product of its digits is 17280, while the sum is 33.
The square root of 22958232 is about 4791.4749294972. The cubic root of 22958232 is about 284.2144449247.
The spelling of 22958232 in words is "twenty-two million, nine hundred fifty-eight thousand, two hundred thirty-two".
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