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203143220 = 22572972137
BaseRepresentation
bin11000001101110…
…11100000110100
3112011020202002222
430012323200310
5404001040340
632054021512
75014455200
oct1406734064
9464222088
10203143220
11a473a565
1258047898
1333117bb7
141cd9db00
1512c7a8b5
hexc1bb834

203143220 has 72 divisors (see below), whose sum is σ = 501600456. Its totient is φ = 68898816.

The previous prime is 203143201. The next prime is 203143243. The reversal of 203143220 is 22341302.

It can be written as a sum of positive squares in 4 ways, for example, as 23716 + 203119504 = 154^2 + 14252^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93992 + ... + 96128.

It is an arithmetic number, because the mean of its divisors is an integer number (6966673).

Almost surely, 2203143220 is an apocalyptic number.

203143220 is a gapful number since it is divisible by the number (20) 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 203143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250800228).

203143220 is an abundant number, since it is smaller than the sum of its proper divisors (298457236).

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

203143220 is a wasteful number, since it uses less digits than its factorization.

203143220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 203143220 is about 14252.8319992905. The cubic root of 203143220 is about 587.8512473300.

Adding to 203143220 its reverse (22341302), we get a palindrome (225484522).

The spelling of 203143220 in words is "two hundred three million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1358 1940 2137 2716 3395 4274 4753 6790 8548 9506 10685 13580 14959 19012 21370 23765 29918 42740 47530 59836 74795 95060 104713 149590 207289 209426 299180 414578 418852 523565 829156 1036445 1047130 1451023 2072890 2094260 2902046 4145780 5804092 7255115 10157161 14510230 20314322 29020460 40628644 50785805 101571610 203143220