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199968444 = 223213427283
BaseRepresentation
bin10111110101101…
…00011010111100
3111221021110010200
423322310122330
5402142442234
631502003500
74645463244
oct1372643274
9457243120
10199968444
11a2971285
1256b76590
1332575b30
141c7b4b24
151284ed99
hexbeb46bc

199968444 has 36 divisors (see below), whose sum is σ = 544359816. Its totient is φ = 61528608.

The previous prime is 199968443. The next prime is 199968469. The reversal of 199968444 is 444869991.

It is a happy number.

199968444 is a `hidden beast` number, since 199 + 9 + 6 + 8 + 444 = 666.

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

It is a super-2 number, since 2×1999684442 = 79974757191562272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199968443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213174 + ... + 214109.

It is an arithmetic number, because the mean of its divisors is an integer number (15121106).

Almost surely, 2199968444 is an apocalyptic number.

It is an amenable number.

199968444 is an abundant number, since it is smaller than the sum of its proper divisors (344391372).

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

199968444 is a wasteful number, since it uses less digits than its factorization.

199968444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427306 (or 427301 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 199968444 is about 14141.0199066404. The cubic root of 199968444 is about 584.7727892569.

The spelling of 199968444 in words is "one hundred ninety-nine million, nine hundred sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 427283 854566 1281849 1709132 2563698 3845547 5127396 5554679 7691094 11109358 15382188 16664037 22218716 33328074 49992111 66656148 99984222 199968444