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13222234000 = 245316340559
BaseRepresentation
bin11000101000001101…
…10100011110010000
31021010110222002012101
430110012310132100
5204034342442000
610024010210144
7645442064113
oct142406643620
937113862171
1013222234000
115675674118
122690123954
131329442201
148d609857a
15525bede6a
hex3141b4790

13222234000 has 80 divisors (see below), whose sum is σ = 32168298240. Its totient is φ = 5256316800.

The previous prime is 13222233979. The next prime is 13222234001. The reversal of 13222234000 is 43222231.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13222234001) 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, 305721 + ... + 346279.

It is an arithmetic number, because the mean of its divisors is an integer number (402103728).

Almost surely, 213222234000 is an apocalyptic number.

13222234000 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 13222234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084149120).

13222234000 is an abundant number, since it is smaller than the sum of its proper divisors (18946064240).

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

13222234000 is a wasteful number, since it uses less digits than its factorization.

13222234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40745 (or 40729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 13222234000 its reverse (43222231), we get a palindrome (13265456231).

It can be divided in two parts, 1322 and 2234000, that added together give a palindrome (2235322).

The spelling of 13222234000 in words is "thirteen billion, two hundred twenty-two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 652 815 1000 1304 1630 2000 2608 3260 4075 6520 8150 13040 16300 20375 32600 40559 40750 65200 81118 81500 162236 163000 202795 324472 326000 405590 648944 811180 1013975 1622360 2027950 3244720 4055900 5069875 6611117 8111800 10139750 13222234 16223600 20279500 26444468 33055585 40559000 52888936 66111170 81118000 105777872 132222340 165277925 264444680 330555850 528889360 661111700 826389625 1322223400 1652779250 2644446800 3305558500 6611117000 13222234000