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21811712 = 291329113
BaseRepresentation
bin101001100110…
…1001000000000
31112001011001012
41103031020000
521040433322
62055300052
7353252666
oct123151000
945034035
1021811712
111134850a
12737a628
134698c50
142c7ac36
151dacae2
hex14cd200

21811712 has 80 divisors (see below), whose sum is σ = 48981240. Its totient is φ = 9633792.

The previous prime is 21811679. The next prime is 21811717. The reversal of 21811712 is 21711812.

It can be written as a sum of positive squares in 4 ways, for example, as 8386816 + 13424896 = 2896^2 + 3664^2 .

It is not an unprimeable number, because it can be changed into a prime (21811717) 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, 192968 + ... + 193080.

Almost surely, 221811712 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 21811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490620).

21811712 is an abundant number, since it is smaller than the sum of its proper divisors (27169528).

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

21811712 is a wasteful number, since it uses less digits than its factorization.

21811712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its digits is 224, while the sum is 23.

The square root of 21811712 is about 4670.3010609596. The cubic root of 21811712 is about 279.4022622859.

The spelling of 21811712 in words is "twenty-one million, eight hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 113 116 128 208 226 232 256 377 416 452 464 512 754 832 904 928 1469 1508 1664 1808 1856 2938 3016 3277 3328 3616 3712 5876 6032 6554 6656 7232 7424 11752 12064 13108 14464 14848 23504 24128 26216 28928 42601 47008 48256 52432 57856 85202 94016 96512 104864 170404 188032 193024 209728 340808 376064 419456 681616 752128 838912 1363232 1677824 2726464 5452928 10905856 21811712