Search a number
-
+
201012224 = 210729967
BaseRepresentation
bin10111111101100…
…11010000000000
3112000020110221012
423332303100000
5402424342344
631540220052
74660401320
oct1376632000
9460213835
10201012224
11a3514506
125739a628
133284cc5a
141c9a7280
15129a929e
hexbfb3400

201012224 has 88 divisors (see below), whose sum is σ = 475559040. Its totient is φ = 83091456.

The previous prime is 201012221. The next prime is 201012239. The reversal of 201012224 is 422210102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201012199 and 201012208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207389 + ... + 208355.

It is an arithmetic number, because the mean of its divisors is an integer number (5404080).

Almost surely, 2201012224 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 201012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237779520).

201012224 is an abundant number, since it is smaller than the sum of its proper divisors (274546816).

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

201012224 is an equidigital number, since it uses as much as digits as its factorization.

201012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 201012224 is about 14177.8779794439. The cubic root of 201012224 is about 585.7884748720.

Adding to 201012224 its reverse (422210102), we get a palindrome (623222326).

The spelling of 201012224 in words is "two hundred one million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 967 1024 1624 1792 1856 1934 3248 3584 3712 3868 6496 6769 7168 7424 7736 12992 13538 14848 15472 25984 27076 28043 29696 30944 51968 54152 56086 61888 103936 108304 112172 123776 196301 207872 216608 224344 247552 392602 433216 448688 495104 785204 866432 897376 990208 1570408 1732864 1794752 3140816 3465728 3589504 6281632 6931456 7179008 12563264 14358016 25126528 28716032 50253056 100506112 201012224