Base | Representation |
---|---|
bin | 101100000110… |
… | …1010000000000 |
3 | 1121111202201100 |
4 | 1120031100000 |
5 | 21404413234 |
6 | 2143334400 |
7 | 400353555 |
oct | 130152000 |
9 | 47452640 |
10 | 23122944 |
11 | 12063679 |
12 | 78b1400 |
13 | 4a37a20 |
14 | 30dca2c |
15 | 206b399 |
hex | 160d400 |
23122944 has 132 divisors (see below), whose sum is σ = 72275476. Its totient is φ = 7077888.
The previous prime is 23122937. The next prime is 23122961. The reversal of 23122944 is 44922132.
It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 18662400 = 2112^2 + 4320^2 .
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 (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119712 + ... + 119904.
Almost surely, 223122944 is an apocalyptic number.
23122944 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 23122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137738).
23122944 is an abundant number, since it is smaller than the sum of its proper divisors (49152532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23122944 is a wasteful number, since it uses less digits than its factorization.
23122944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232 (or 211 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 23122944 is about 4808.6322379654. The cubic root of 23122944 is about 284.8925171799.
The spelling of 23122944 in words is "twenty-three million, one hundred twenty-two thousand, nine hundred forty-four".
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