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23200422005200 = 24521145911148513
BaseRepresentation
bin1010100011001110001001…
…11010011000100111010000
310001010221100022002112220111
411101213010322120213100
511020103431013131300
6121202043212451104
74613114041144606
oct521470472304720
9101127308075814
1023200422005200
11743527542a740
122728492479a94
13cc3a376aa40b
145a2c992c7876
152a3769b0c9ba
hex1519c4e989d0

23200422005200 has 120 divisors (see below), whose sum is σ = 60819494553216. Its totient is φ = 8434672128000.

The previous prime is 23200422005191. The next prime is 23200422005203. The reversal of 23200422005200 is 250022400232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200422005203) 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, 19626144 + ... + 20774656.

Almost surely, 223200422005200 is an apocalyptic number.

23200422005200 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 23200422005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30409747276608).

23200422005200 is an abundant number, since it is smaller than the sum of its proper divisors (37619072548016).

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

23200422005200 is a wasteful number, since it uses less digits than its factorization.

23200422005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153133 (or 1153122 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 23200422005200 its reverse (250022400232), we get a palindrome (23450444405432).

The spelling of 23200422005200 in words is "twenty-three trillion, two hundred billion, four hundred twenty-two million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 4591 9182 18364 22955 36728 45910 50501 73456 91820 101002 114775 183640 202004 229550 252505 367280 404008 459100 505010 808016 918200 1010020 1148513 1262525 1836400 2020040 2297026 2525050 4040080 4594052 5050100 5742565 9188104 10100200 11485130 12633643 18376208 20200400 22970260 25267286 28712825 45940520 50534572 57425650 63168215 91881040 101069144 114851300 126336430 202138288 229702600 252672860 315841075 459405200 505345720 631682150 1010691440 1263364300 2526728600 5053457200 5272823183 10545646366 21091292732 26364115915 42182585464 52728231830 58001055013 84365170928 105456463660 116002110026 131820579575 210912927320 232004220052 263641159150 290005275065 421825854640 464008440104 527282318300 580010550130 928016880208 1054564636600 1160021100260 1450026375325 2109129273200 2320042200520 2900052750650 4640084401040 5800105501300 11600211002600 23200422005200