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21922912 = 2511611021
BaseRepresentation
bin101001110100…
…0010001100000
31112020210120201
41103220101200
521103013122
62101514544
7354225124
oct123502140
945223521
1021922912
1111414010
127412a54
13470774b
142ca9584
151dd0a27
hex14e8460

21922912 has 48 divisors (see below), whose sum is σ = 47903184. Its totient is φ = 9792000.

The previous prime is 21922897. The next prime is 21922913.

21922912 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×219229122 = 961228141119488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21922913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20962 + ... + 21982.

It is an arithmetic number, because the mean of its divisors is an integer number (997983).

Almost surely, 221922912 is an apocalyptic number.

21922912 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 21922912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23951592).

21922912 is an abundant number, since it is smaller than the sum of its proper divisors (25980272).

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

21922912 is a wasteful number, since it uses less digits than its factorization.

21922912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1095 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 21922912 is about 4682.1909401476. The cubic root of 21922912 is about 279.8762718649.

The spelling of 21922912 in words is "twenty-one million, nine hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1021 1342 1952 2042 2684 4084 5368 8168 10736 11231 16336 21472 22462 32672 44924 62281 89848 124562 179696 249124 359392 498248 685091 996496 1370182 1992992 2740364 5480728 10961456 21922912