Search a number
-
+
2202201202000 = 24531101100601
BaseRepresentation
bin100000000010111101011…
…010111001110101010000
321210112021012002011221111
4200002331122321311100
5242040102001431000
64403402142303104
7315050412235432
oct40027532716520
97715235064844
102202201202000
11779a48192698
122b6974887a94
1312c888916027
1478831042652
153c43e809cba
hex200bd6b9d50

2202201202000 has 40 divisors (see below), whose sum is σ = 5324922511272. Its totient is φ = 880880480000.

The previous prime is 2202201201983. The next prime is 2202201202013. The reversal of 2202201202000 is 2021022022.

It can be written as a sum of positive squares in 4 ways, for example, as 315138522384 + 1887062679616 = 561372^2 + 1373704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550548301 + ... + 550552300.

Almost surely, 22202201202000 is an apocalyptic number.

2202201202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202201202000 is an abundant number, since it is smaller than the sum of its proper divisors (3122721309272).

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

2202201202000 is a wasteful number, since it uses less digits than its factorization.

2202201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101100624 (or 1101100608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2202201202000 its reverse (2021022022), we get a palindrome (2204222224022).

The spelling of 2202201202000 in words is "two trillion, two hundred two billion, two hundred one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1101100601 2202201202 4404402404 5505503005 8808804808 11011006010 17617609616 22022012020 27527515025 44044024040 55055030050 88088048080 110110060100 137637575125 220220120200 275275150250 440440240400 550550300500 1101100601000 2202201202000