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203132196 = 223261233397
BaseRepresentation
bin11000001101110…
…00110100100100
3112011020011222200
430012320310210
5404000212241
632053454500
75014411101
oct1406706444
9464204880
10203132196
11a4732253
1258041430
1333112b87
141cd99aa8
1512c774b6
hexc1b8d24

203132196 has 72 divisors (see below), whose sum is σ = 525450744. Its totient is φ = 66147840.

The previous prime is 203132191. The next prime is 203132197. The reversal of 203132196 is 691231302.

203132196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 203062500 = 264^2 + 14250^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203132191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511470 + ... + 511866.

It is an arithmetic number, because the mean of its divisors is an integer number (7297927).

Almost surely, 2203132196 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 203132196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262725372).

203132196 is an abundant number, since it is smaller than the sum of its proper divisors (322318548).

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

203132196 is a wasteful number, since it uses less digits than its factorization.

203132196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 203132196 is about 14252.4452638837. The cubic root of 203132196 is about 587.8406134705.

Adding to 203132196 its reverse (691231302), we get a palindrome (894363498).

The spelling of 203132196 in words is "two hundred three million, one hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 233 244 366 397 466 549 699 732 794 932 1098 1191 1398 1588 2097 2196 2382 2796 3573 4194 4764 7146 8388 14213 14292 24217 28426 42639 48434 56852 72651 85278 92501 96868 127917 145302 170556 185002 217953 255834 277503 290604 370004 435906 511668 555006 832509 871812 1110012 1665018 3330036 5642561 11285122 16927683 22570244 33855366 50783049 67710732 101566098 203132196