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231132200 = 23521388897
BaseRepresentation
bin11011100011011…
…00110000101000
3121002220201202212
431301230300220
5433132212300
634533544252
75504406545
oct1561546050
9532821685
10231132200
11109517052
12654a5088
1338b67720
14229a7bcc
1515458935
hexdc6cc28

231132200 has 48 divisors (see below), whose sum is σ = 578725980. Its totient is φ = 85340160.

The previous prime is 231132197. The next prime is 231132203. The reversal of 231132200 is 2231132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231132197) and next prime (231132203).

It can be written as a sum of positive squares in 6 ways, for example, as 15100996 + 216031204 = 3886^2 + 14698^2 .

It is not an unprimeable number, because it can be changed into a prime (231132203) 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 11 ways as a sum of consecutive naturals, for example, 41849 + ... + 47048.

Almost surely, 2231132200 is an apocalyptic number.

231132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231132200 is an abundant number, since it is smaller than the sum of its proper divisors (347593780).

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

231132200 is a wasteful number, since it uses less digits than its factorization.

231132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88926 (or 88917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 231132200 is about 15203.0325922166. The cubic root of 231132200 is about 613.6962709605.

Adding to 231132200 its reverse (2231132), we get a palindrome (233363332).

The spelling of 231132200 in words is "two hundred thirty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 88897 177794 355588 444485 711176 888970 1155661 1777940 2222425 2311322 3555880 4444850 4622644 5778305 8889700 9245288 11556610 17779400 23113220 28891525 46226440 57783050 115566100 231132200