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21344044200 = 2335247756881
BaseRepresentation
bin10011111000001101…
…000100010010101000
32001002111120210021120
4103320031010102220
5322203033403300
613445540535240
71353632245053
oct237015042250
961074523246
1021344044200
11906317a356
1241780b1520
132021c9416b
1410669cda9a
1584dc5b3a0
hex4f83444a8

21344044200 has 96 divisors (see below), whose sum is σ = 67574424960. Its totient is φ = 5570636800.

The previous prime is 21344044181. The next prime is 21344044201. The reversal of 21344044200 is 244044312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21344044201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350241 + ... + 406640.

It is an arithmetic number, because the mean of its divisors is an integer number (703900260).

Almost surely, 221344044200 is an apocalyptic number.

21344044200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21344044200 is an abundant number, since it is smaller than the sum of its proper divisors (46230380760).

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

21344044200 is a wasteful number, since it uses less digits than its factorization.

21344044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756947 (or 756938 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21344044200 its reverse (244044312), we get a palindrome (21588088512).

The spelling of 21344044200 in words is "twenty-one billion, three hundred forty-four million, forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 756881 1513762 2270643 3027524 3784405 4541286 6055048 7568810 9082572 11353215 15137620 18165144 18922025 22706430 30275240 35573407 37844050 45412860 56766075 71146814 75688100 90825720 106720221 113532150 142293628 151376200 177867035 213440442 227064300 284587256 355734070 426880884 454128600 533601105 711468140 853761768 889335175 1067202210 1422936280 1778670350 2134404420 2668005525 3557340700 4268808840 5336011050 7114681400 10672022100 21344044200