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21232116 = 22321734693
BaseRepresentation
bin101000011111…
…1100111110100
31110221200222200
41100333213310
520413411431
62035024500
7345320133
oct120774764
943850880
1021232116
1110a92004
12713b130
1345251a9
142b6991a
151ce5ee6
hex143f9f4

21232116 has 36 divisors (see below), whose sum is σ = 56828772. Its totient is φ = 6660864.

The previous prime is 21232103. The next prime is 21232121. The reversal of 21232116 is 61123212.

It can be written as a sum of positive squares in 2 ways, for example, as 15210000 + 6022116 = 3900^2 + 2454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16735 + ... + 17958.

It is an arithmetic number, because the mean of its divisors is an integer number (1578577).

Almost surely, 221232116 is an apocalyptic number.

It is an amenable number.

21232116 is an abundant number, since it is smaller than the sum of its proper divisors (35596656).

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

21232116 is a wasteful number, since it uses less digits than its factorization.

21232116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34720 (or 34715 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 21232116 is about 4607.8320281885. The cubic root of 21232116 is about 276.9051880894.

Adding to 21232116 its reverse (61123212), we get a palindrome (82355328).

The spelling of 21232116 in words is "twenty-one million, two hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 34693 69386 104079 138772 208158 312237 416316 589781 624474 1179562 1248948 1769343 2359124 3538686 5308029 7077372 10616058 21232116