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21933912 = 23371121383
BaseRepresentation
bin101001110101…
…0111101011000
31112021100200010
41103222331120
521103341122
62102041520
7354302160
oct123527530
945240603
1021933912
1111421300
1274192a0
13470c760
142cad5a0
151dd3e0c
hex14eaf58

21933912 has 192 divisors, whose sum is σ = 75075840. Its totient is φ = 5195520.

The previous prime is 21933911. The next prime is 21933929.

It is a happy number.

21933912 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21933912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21933911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264223 + ... + 264305.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 221933912 is an apocalyptic number.

21933912 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 21933912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).

21933912 is an abundant number, since it is smaller than the sum of its proper divisors (53141928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21933912 is a wasteful number, since it uses less digits than its factorization.

21933912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 2916, while the sum is 30.

The square root of 21933912 is about 4683.3654565921. The cubic root of 21933912 is about 279.9230741058.

It can be divided in two parts, 2193 and 3912, that added together give a triangular number (6105 = T110).

The spelling of 21933912 in words is "twenty-one million, nine hundred thirty-three thousand, nine hundred twelve".