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13230224000 = 27537118127
BaseRepresentation
bin11000101001001010…
…10011001010000000
31021011001000000102022
430110211103022000
5204043414132000
610024453341012
7645600022430
oct142445231200
937131000368
1013230224000
11567a131124
122692937768
13132acabc16
148d71782c0
1552677b585
hex314953280

13230224000 has 128 divisors (see below), whose sum is σ = 37593054720. Its totient is φ = 4536038400.

The previous prime is 13230223999. The next prime is 13230224003. The reversal of 13230224000 is 42203231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13230224000.

It is not an unprimeable number, because it can be changed into a prime (13230224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52937 + ... + 171063.

It is an arithmetic number, because the mean of its divisors is an integer number (293695740).

Almost surely, 213230224000 is an apocalyptic number.

13230224000 is a gapful number since it is divisible by the number (10) 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 13230224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796527360).

13230224000 is an abundant number, since it is smaller than the sum of its proper divisors (24362830720).

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

13230224000 is an equidigital number, since it uses as much as digits as its factorization.

13230224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118163 (or 118141 counting only the distinct ones).

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

Adding to 13230224000 its reverse (42203231), we get a palindrome (13272427231).

The spelling of 13230224000 in words is "thirteen billion, two hundred thirty million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 118127 236254 472508 590635 826889 945016 1181270 1653778 1890032 2362540 2953175 3307556 3780064 4134445 4725080 5906350 6615112 7560128 8268890 9450160 11812700 13230224 14765875 15120256 16537780 18900320 20672225 23625400 26460448 29531750 33075560 37800640 41344450 47250800 52920896 59063500 66151120 75601280 82688900 94501600 103361125 105841792 118127000 132302240 165377800 189003200 206722250 236254000 264604480 330755600 378006400 413444500 472508000 529208960 661511200 826889000 945016000 1323022400 1653778000 1890032000 2646044800 3307556000 6615112000 13230224000