Search a number
-
+
2201002303200 = 2535210345719483
BaseRepresentation
bin100000000001110101111…
…101011101111011100000
321210102011122010210222020
4200001311331131323200
5242030123042200300
64403043153541440
7315005613614601
oct40016575357340
97712148123866
102201002303200
11779492469238
122b669b274880
1312c727418b5c
1478759b1bda8
153c3be43a8a0
hex20075f5dee0

2201002303200 has 288 divisors, whose sum is σ = 7250019469056. Its totient is φ = 579933941760.

The previous prime is 2201002303193. The next prime is 2201002303211. The reversal of 2201002303200 is 23032001022.

2201002303200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22010023032002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201002303200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112960659 + ... + 112980141.

It is an arithmetic number, because the mean of its divisors is an integer number (25173678712).

Almost surely, 22201002303200 is an apocalyptic number.

2201002303200 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 2201002303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625009734528).

2201002303200 is an abundant number, since it is smaller than the sum of its proper divisors (5049017165856).

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

2201002303200 is a wasteful number, since it uses less digits than its factorization.

2201002303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20066 (or 20053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2201002303200 its reverse (23032001022), we get a palindrome (2224034304222).

The spelling of 2201002303200 in words is "two trillion, two hundred one billion, two million, three hundred three thousand, two hundred".