Search a number
-
+
122202222006 = 23532633145949
BaseRepresentation
bin111000111001111010…
…0011110110110110110
3102200102111001002011110
41301303310132312312
54000232232101011
6132050001415450
711554166514504
oct1616364366666
9380374032143
10122202222006
1147909a72107
121b82533a586
13b6a6516207
145cb3a01674
1532a34b0ba6
hex1c73d1edb6

122202222006 has 32 divisors (see below), whose sum is σ = 249112130400. Its totient is φ = 39950054144.

The previous prime is 122202221989. The next prime is 122202222007. The reversal of 122202222006 is 600222202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764320 + ... + 910268.

It is an arithmetic number, because the mean of its divisors is an integer number (7784754075).

Almost surely, 2122202222006 is an apocalyptic number.

122202222006 is an abundant number, since it is smaller than the sum of its proper divisors (126909908394).

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

122202222006 is a wasteful number, since it uses less digits than its factorization.

122202222006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148640.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 122202222006 its reverse (600222202221), we get a palindrome (722424424227).

The spelling of 122202222006 in words is "one hundred twenty-two billion, two hundred two million, two hundred twenty-two thousand, six".

Divisors: 1 2 3 6 53 106 159 318 2633 5266 7899 15798 139549 145949 279098 291898 418647 437847 837294 875694 7735297 15470594 23205891 46411782 384283717 768567434 1152851151 2305702302 20367037001 40734074002 61101111003 122202222006