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21133200 = 24352111601
BaseRepresentation
bin101000010011…
…1011110010000
31110202200022010
41100213132100
520402230300
62032542520
7344425554
oct120473620
943680263
1021133200
1110a24760
1270b1a40
1344bc16a
142b41864
151cc6a50
hex1427790

21133200 has 120 divisors (see below), whose sum is σ = 73897056. Its totient is φ = 5120000.

The previous prime is 21133153. The next prime is 21133213. The reversal of 21133200 is 233112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×211332002 = 893224284480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12400 + ... + 14000.

Almost surely, 221133200 is an apocalyptic number.

21133200 is a gapful number since it is divisible by the number (20) 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 21133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36948528).

21133200 is an abundant number, since it is smaller than the sum of its proper divisors (52763856).

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

21133200 is a wasteful number, since it uses less digits than its factorization.

21133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21133200 is about 4597.0860335652. The cubic root of 21133200 is about 276.4745040676.

Adding to 21133200 its reverse (233112), we get a palindrome (21366312).

It can be divided in two parts, 211 and 33200, that added together give a triangular number (33411 = T258).

The spelling of 21133200 in words is "twenty-one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1601 1650 2200 2640 3202 3300 4400 4803 6404 6600 8005 9606 12808 13200 16010 17611 19212 24015 25616 32020 35222 38424 40025 48030 52833 64040 70444 76848 80050 88055 96060 105666 120075 128080 140888 160100 176110 192120 211332 240150 264165 281776 320200 352220 384240 422664 440275 480300 528330 640400 704440 845328 880550 960600 1056660 1320825 1408880 1761100 1921200 2113320 2641650 3522200 4226640 5283300 7044400 10566600 21133200