Search a number
-
+
122206290084 = 22331131539723
BaseRepresentation
bin111000111010000010…
…0000000000010100100
3102200102202200202112000
41301310010000002210
54000234302240314
6132050224525300
711554246220004
oct1616404000244
9380382622460
10122206290084
11479112a055a
121b826780830
13b6a730ba68
145cb4380004
1532a3a16209
hex1c741000a4

122206290084 has 24 divisors (see below), whose sum is σ = 316831122720. Its totient is φ = 40735429992.

The previous prime is 122206290079. The next prime is 122206290097. The reversal of 122206290084 is 480092602221.

122206290084 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 629 + 0 + 0 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565769754 + ... + 565769969.

It is an arithmetic number, because the mean of its divisors is an integer number (13201296780).

Almost surely, 2122206290084 is an apocalyptic number.

It is an amenable number.

122206290084 is an abundant number, since it is smaller than the sum of its proper divisors (194624832636).

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

122206290084 is a wasteful number, since it uses less digits than its factorization.

122206290084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131539736 (or 1131539728 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 122206290084 in words is "one hundred twenty-two billion, two hundred six million, two hundred ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1131539723 2263079446 3394619169 4526158892 6789238338 10183857507 13578476676 20367715014 30551572521 40735430028 61103145042 122206290084