Base | Representation |
---|---|
bin | 10100011011010111… |
… | …001111100000000000 |
3 | 2002121121112021200100 |
4 | 110123113033200000 |
5 | 324410040222422 |
6 | 14024251522400 |
7 | 1404354123315 |
oct | 243327174000 |
9 | 62547467610 |
10 | 21933914112 |
11 | 9336139350 |
12 | 4301759400 |
13 | 20b7253c06 |
14 | 10c109ad0c |
15 | 8859277ac |
hex | 51b5cf800 |
21933914112 has 288 divisors, whose sum is σ = 69544500480. Its totient is φ = 6604800000.
The previous prime is 21933914111. The next prime is 21933914113. The reversal of 21933914112 is 21141933912.
It is a happy number.
21933914112 is a `hidden beast` number, since 219 + 3 + 391 + 41 + 12 = 666.
It is an interprime number because it is at equal distance from previous prime (21933914111) and next prime (21933914113).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21933914111) 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, 50890537 + ... + 50890967.
It is an arithmetic number, because the mean of its divisors is an integer number (241473960).
Almost surely, 221933914112 is an apocalyptic number.
21933914112 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 21933914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34772250240).
21933914112 is an abundant number, since it is smaller than the sum of its proper divisors (47610586368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21933914112 is a wasteful number, since it uses less digits than its factorization.
21933914112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 721 (or 698 counting only the distinct ones).
The product of its digits is 11664, while the sum is 36.
The spelling of 21933914112 in words is "twenty-one billion, nine hundred thirty-three million, nine hundred fourteen thousand, one hundred twelve".
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