Base | Representation |
---|---|
bin | 101010100001… |
… | …0001011011100 |
3 | 1112221111201200 |
4 | 1111002023130 |
5 | 21201304124 |
6 | 2113435500 |
7 | 360320550 |
oct | 125021334 |
9 | 45844650 |
10 | 22291164 |
11 | 11645755 |
12 | 756bb90 |
13 | 480624c |
14 | 2d63860 |
15 | 1e54bc9 |
hex | 15422dc |
22291164 has 72 divisors (see below), whose sum is σ = 65651040. Its totient is φ = 6244992.
The previous prime is 22291151. The next prime is 22291177. The reversal of 22291164 is 46119222.
It is an interprime number because it is at equal distance from previous prime (22291151) and next prime (22291177).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 12522 + ... + 14190.
It is an arithmetic number, because the mean of its divisors is an integer number (911820).
Almost surely, 222291164 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22291164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32825520).
22291164 is an abundant number, since it is smaller than the sum of its proper divisors (43359876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22291164 is a wasteful number, since it uses less digits than its factorization.
22291164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1739 (or 1734 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 22291164 is about 4721.3519250316. The cubic root of 22291164 is about 281.4346603606.
The spelling of 22291164 in words is "twenty-two million, two hundred ninety-one thousand, one hundred sixty-four".
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