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122249528164 = 221748212
BaseRepresentation
bin111000111011010100…
…0111100001101100100
3102200112210001111000101
41301312220330031210
54000331334400124
6132054411353444
711555312562361
oct1616650741544
9380483044011
10122249528164
1147933742a05
121b839152884
13b6b326a41a
145cb9dd7468
1532a7707644
hex1c76a3c364

122249528164 has 9 divisors (see below), whose sum is σ = 213937898041. Its totient is φ = 61124414440.

The previous prime is 122249528161. The next prime is 122249528197. The reversal of 122249528164 is 461825942221.

The square root of 122249528164 is 349642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 504361764 + 121745166400 = 22458^2 + 348920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122249528161) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 611874 + ... + 786694.

Almost surely, 2122249528164 is an apocalyptic number.

122249528164 is the 349642-nd square number.

It is an amenable number.

122249528164 is a deficient number, since it is larger than the sum of its proper divisors (91688369877).

122249528164 is an frugal number, since it uses more digits than its factorization.

122249528164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349646 (or 174823 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 122249528164 in words is "one hundred twenty-two billion, two hundred forty-nine million, five hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 174821 349642 699284 30562382041 61124764082 122249528164