Search a number
-
+
203001144 = 23331281971
BaseRepresentation
bin11000001100110…
…00110100111000
3112010222112012220
430012120310320
5403432014034
632051004040
75013324033
oct1406306470
9463875186
10203001144
11a4652845
1257b99620
1333098328
141cd6401a
1512c4d749
hexc198d38

203001144 has 64 divisors (see below), whose sum is σ = 526279680. Its totient is φ = 65184000.

The previous prime is 203001143. The next prime is 203001163. The reversal of 203001144 is 441100302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203001143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208579 + ... + 209549.

It is an arithmetic number, because the mean of its divisors is an integer number (8223120).

Almost surely, 2203001144 is an apocalyptic number.

203001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263139840).

203001144 is an abundant number, since it is smaller than the sum of its proper divisors (323278536).

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

203001144 is a wasteful number, since it uses less digits than its factorization.

203001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 203001144 is about 14247.8469952481. The cubic root of 203001144 is about 587.7141699317.

Adding to 203001144 its reverse (441100302), we get a palindrome (644101446).

The spelling of 203001144 in words is "two hundred three million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 281 372 562 744 843 971 1124 1686 1942 2248 2913 3372 3884 5826 6744 7768 8711 11652 17422 23304 26133 30101 34844 52266 60202 69688 90303 104532 120404 180606 209064 240808 272851 361212 545702 722424 818553 1091404 1637106 2182808 3274212 6548424 8458381 16916762 25375143 33833524 50750286 67667048 101500572 203001144