Search a number
-
+
231189120 = 2733517787
BaseRepresentation
bin11011100011110…
…10101010000000
3121010000121212000
431301322222000
5433141022440
634535104000
75505034521
oct1561725200
9533017760
10231189120
11109555898
1265512000
1338b875c6
14229c0848
151546a730
hexdc7aa80

231189120 has 256 divisors, whose sum is σ = 868060800. Its totient is φ = 57950208.

The previous prime is 231189107. The next prime is 231189139. The reversal of 231189120 is 21981132.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 293367 + ... + 294153.

Almost surely, 2231189120 is an apocalyptic number.

231189120 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 231189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434030400).

231189120 is an abundant number, since it is smaller than the sum of its proper divisors (636871680).

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

231189120 is a wasteful number, since it uses less digits than its factorization.

231189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 231189120 is about 15204.9044719130. The cubic root of 231189120 is about 613.7466443322.

The spelling of 231189120 in words is "two hundred thirty-one million, one hundred eighty-nine thousand, one hundred twenty".