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201322144 = 2583229331
BaseRepresentation
bin10111111111111…
…10111010100000
3112000211020001201
423333332322200
5403014302034
631551010544
74663132012
oct1377767240
9460736051
10201322144
11a3706341
1257509a54
133292b03a
141ca481b2
1512a1b014
hexbffeea0

201322144 has 48 divisors (see below), whose sum is σ = 404097120. Its totient is φ = 98714880.

The previous prime is 201322141. The next prime is 201322181. The reversal of 201322144 is 441223102.

It is not an unprimeable number, because it can be changed into a prime (201322141) 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 7 ways as a sum of consecutive naturals, for example, 608059 + ... + 608389.

It is an arithmetic number, because the mean of its divisors is an integer number (8418690).

Almost surely, 2201322144 is an apocalyptic number.

It is an amenable number.

201322144 is an abundant number, since it is smaller than the sum of its proper divisors (202774976).

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

201322144 is a wasteful number, since it uses less digits than its factorization.

201322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 201322144 is about 14188.8034731615. The cubic root of 201322144 is about 586.0893758773.

Adding to 201322144 its reverse (441223102), we get a palindrome (642545246).

The spelling of 201322144 in words is "two hundred one million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 83 166 229 331 332 458 662 664 916 1324 1328 1832 2648 2656 3664 5296 7328 10592 19007 27473 38014 54946 75799 76028 109892 151598 152056 219784 303196 304112 439568 606392 608224 879136 1212784 2425568 6291317 12582634 25165268 50330536 100661072 201322144