Search a number
-
+
2201917755852 = 22331427872
BaseRepresentation
bin100000000010101100100…
…001101001000111001100
321210111112102201121221000
4200002230201221013030
5242034011421141402
64403314055140300
7315040401053013
oct40025441510714
97714472647830
102201917755852
11779912195381
122b68b5974690
1312c841c92c09
147880553ba7a
153c4249bac1c
hex200ac8691cc

2201917755852 has 36 divisors (see below), whose sum is σ = 5708715643960. Its totient is φ = 733967444952.

The previous prime is 2201917755803. The next prime is 2201917755859. The reversal of 2201917755852 is 2585577191022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2201917755852 is a `hidden beast` number, since 2 + 2 + 0 + 19 + 1 + 77 + 558 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2201917755859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15349603 + ... + 15492389.

Almost surely, 22201917755852 is an apocalyptic number.

It is an amenable number.

2201917755852 is an abundant number, since it is smaller than the sum of its proper divisors (3506797888108).

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

2201917755852 is an frugal number, since it uses more digits than its factorization.

2201917755852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285587 (or 142792 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 2201917755852 in words is "two trillion, two hundred one billion, nine hundred seventeen million, seven hundred fifty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 142787 285574 428361 571148 856722 1285083 1713444 2570166 3855249 5140332 7710498 15420996 20388127369 40776254738 61164382107 81552509476 122328764214 183493146321 244657528428 366986292642 550479438963 733972585284 1100958877926 2201917755852