Search a number
-
+
203000232 = 233292631109
BaseRepresentation
bin11000001100110…
…00100110101000
3112010222110222010
430012120212220
5403432001412
632050555520
75013321261
oct1406304650
9463873863
10203000232
11a4652096
1257b98ba0
1333097aa6
141cd63968
1512c4d33c
hexc1989a8

203000232 has 64 divisors (see below), whose sum is σ = 527472000. Its totient is φ = 65026304.

The previous prime is 203000227. The next prime is 203000243. The reversal of 203000232 is 232000302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182494 + ... + 183602.

It is an arithmetic number, because the mean of its divisors is an integer number (8241750).

Almost surely, 2203000232 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 203000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263736000).

203000232 is an abundant number, since it is smaller than the sum of its proper divisors (324471768).

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

203000232 is a wasteful number, since it uses less digits than its factorization.

203000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 203000232 is about 14247.8149903766. The cubic root of 203000232 is about 587.7132898117.

Adding to 203000232 its reverse (232000302), we get a palindrome (435000534).

The spelling of 203000232 in words is "two hundred three million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 263 348 526 696 789 1052 1109 1578 2104 2218 3156 3327 4436 6312 6654 7627 8872 13308 15254 22881 26616 30508 32161 45762 61016 64322 91524 96483 128644 183048 192966 257288 291667 385932 583334 771864 875001 1166668 1750002 2333336 3500004 7000008 8458343 16916686 25375029 33833372 50750058 67666744 101500116 203000232