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21534317200 = 24521131715439
BaseRepresentation
bin10100000011100010…
…111001101010010000
32001120202121122202201
4110003202321222100
5323100241122300
613520455052544
71361432450614
oct240342715220
961522548681
1021534317200
119150619270
12420b971154
132052523c36
141083d9d344
158607e366a
hex5038b9a90

21534317200 has 120 divisors (see below), whose sum is σ = 56621197440. Its totient is φ = 7805452800.

The previous prime is 21534317113. The next prime is 21534317213. The reversal of 21534317200 is 271343512.

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, 1387081 + ... + 1402519.

It is an arithmetic number, because the mean of its divisors is an integer number (471843312).

Almost surely, 221534317200 is an apocalyptic number.

21534317200 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 21534317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28310598720).

21534317200 is an abundant number, since it is smaller than the sum of its proper divisors (35086880240).

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

21534317200 is a wasteful number, since it uses less digits than its factorization.

21534317200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15785 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 21534317200 in words is "twenty-one billion, five hundred thirty-four million, three hundred seventeen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 317 400 440 550 634 880 1100 1268 1585 2200 2536 3170 3487 4400 5072 6340 6974 7925 12680 13948 15439 15850 17435 25360 27896 30878 31700 34870 55792 61756 63400 69740 77195 87175 123512 126800 139480 154390 169829 174350 247024 278960 308780 339658 348700 385975 617560 679316 697400 771950 849145 1235120 1358632 1394800 1543900 1698290 2717264 3087800 3396580 4245725 4894163 6175600 6793160 8491450 9788326 13586320 16982900 19576652 24470815 33965800 39153304 48941630 53835793 67931600 78306608 97883260 107671586 122354075 195766520 215343172 244708150 269178965 391533040 430686344 489416300 538357930 861372688 978832600 1076715860 1345894825 1957665200 2153431720 2691789650 4306863440 5383579300 10767158600 21534317200