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21133224 = 233571553
BaseRepresentation
bin101000010011…
…1011110101000
31110202200100000
41100213132220
520402230344
62032543000
7344425620
oct120473650
943680300
1021133224
1110a24782
1270b1a60
1344bc188
142b41880
151cc6a69
hex14277a8

21133224 has 96 divisors (see below), whose sum is σ = 67878720. Its totient is φ = 6034176.

The previous prime is 21133219. The next prime is 21133237. The reversal of 21133224 is 42233112.

It is a super-2 number, since 2×211332242 = 893226313268352, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 21133197 and 21133206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12832 + ... + 14384.

It is an arithmetic number, because the mean of its divisors is an integer number (707070).

Almost surely, 221133224 is an apocalyptic number.

21133224 is a gapful number since it is divisible by the number (24) 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 21133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33939360).

21133224 is an abundant number, since it is smaller than the sum of its proper divisors (46745496).

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

21133224 is a wasteful number, since it uses less digits than its factorization.

21133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1565 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 21133224 is about 4597.0886439137. The cubic root of 21133224 is about 276.4746087273.

Adding to 21133224 its reverse (42233112), we get a palindrome (63366336).

The spelling of 21133224 in words is "twenty-one million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1553 1701 1944 2268 3106 3402 4536 4659 6212 6804 9318 10871 12424 13608 13977 18636 21742 27954 32613 37272 41931 43484 55908 65226 83862 86968 97839 111816 125793 130452 167724 195678 251586 260904 293517 335448 377379 391356 503172 587034 754758 782712 880551 1006344 1174068 1509516 1761102 2348136 2641653 3019032 3522204 5283306 7044408 10566612 21133224