Search a number
-
+
201323144 = 231113716699
BaseRepresentation
bin10111111111111…
…11001010001000
3112000211021102202
423333333022020
5403014320034
631551015332
74663134641
oct1377771210
9460737382
10201323144
11a3707070
125750a548
133292b629
141ca486c8
1512a1b47e
hexbfff288

201323144 has 32 divisors (see below), whose sum is σ = 414828000. Its totient is φ = 90837120.

The previous prime is 201323099. The next prime is 201323147. The reversal of 201323144 is 441323102.

201323144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201323147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3707 + ... + 20405.

It is an arithmetic number, because the mean of its divisors is an integer number (12963375).

Almost surely, 2201323144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207414000).

201323144 is an abundant number, since it is smaller than the sum of its proper divisors (213504856).

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

201323144 is a wasteful number, since it uses less digits than its factorization.

201323144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16853 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 201323144 is about 14188.8387121709. The cubic root of 201323144 is about 586.0903462763.

Adding to 201323144 its reverse (441323102), we get a palindrome (642646246).

The spelling of 201323144 in words is "two hundred one million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 1096 1507 3014 6028 12056 16699 33398 66796 133592 183689 367378 734756 1469512 2287763 4575526 9151052 18302104 25165393 50330786 100661572 201323144