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21334400 = 275259113
BaseRepresentation
bin101000101100…
…0100110000000
31111010220021222
41101120212000
520430200100
62041134212
7346224263
oct121304600
944126258
1021334400
111105193a
12718a368
13455c909
142b94cda
151d16485
hex1458980

21334400 has 96 divisors (see below), whose sum is σ = 54070200. Its totient is φ = 8314880.

The previous prime is 21334387. The next prime is 21334427. The reversal of 21334400 is 443312.

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, 188744 + ... + 188856.

Almost surely, 221334400 is an apocalyptic number.

21334400 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 21334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27035100).

21334400 is an abundant number, since it is smaller than the sum of its proper divisors (32735800).

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

21334400 is a wasteful number, since it uses less digits than its factorization.

21334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 21334400 is about 4618.9176221275. The cubic root of 21334400 is about 277.3491320717.

Adding to 21334400 its reverse (443312), we get a palindrome (21777712).

The spelling of 21334400 in words is "twenty-one million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 113 118 128 160 200 226 236 295 320 400 452 472 565 590 640 800 904 944 1130 1180 1475 1600 1808 1888 2260 2360 2825 2950 3200 3616 3776 4520 4720 5650 5900 6667 7232 7552 9040 9440 11300 11800 13334 14464 18080 18880 22600 23600 26668 33335 36160 37760 45200 47200 53336 66670 72320 90400 94400 106672 133340 166675 180800 188800 213344 266680 333350 361600 426688 533360 666700 853376 1066720 1333400 2133440 2666800 4266880 5333600 10667200 21334400