Search a number
-
+
231443231400 = 233252128579573
BaseRepresentation
bin1101011110001100010…
…1110111001010101000
3211010101200021100011100
43113203011313022220
512242443431401100
6254153515401400
722502244002403
oct3274305671250
9733350240140
10231443231400
118a177741357
1238a31a53260
1318a956bb344
14b2b8092d3a
156048b32400
hex35e31772a8

231443231400 has 72 divisors (see below), whose sum is σ = 777263524830. Its totient is φ = 61718194560.

The previous prime is 231443231333. The next prime is 231443231449. The reversal of 231443231400 is 4132344132.

231443231400 is a `hidden beast` number, since 2 + 314 + 4 + 32 + 314 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 201265287876 + 30177943524 = 448626^2 + 173718^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64287987 + ... + 64291586.

Almost surely, 2231443231400 is an apocalyptic number.

231443231400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231443231400 is an abundant number, since it is smaller than the sum of its proper divisors (545820293430).

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

231443231400 is a wasteful number, since it uses less digits than its factorization.

231443231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128579595 (or 128579583 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 231443231400 its reverse (4132344132), we get a palindrome (235575575532).

The spelling of 231443231400 in words is "two hundred thirty-one billion, four hundred forty-three million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 128579573 257159146 385738719 514318292 642897865 771477438 1028636584 1157216157 1285795730 1542954876 1928693595 2314432314 2571591460 3085909752 3214489325 3857387190 4628864628 5143182920 5786080785 6428978650 7714774380 9257729256 9643467975 11572161570 12857957300 15429548760 19286935950 23144323140 25715914600 28930403925 38573871900 46288646280 57860807850 77147743800 115721615700 231443231400