Search a number
-
+
230112792 = 233371323509
BaseRepresentation
bin11011011011100…
…11111000011000
3121000222221102000
431231303320120
5432402102132
634500041000
75462632530
oct1555637030
9530887360
10230112792
11108990168
1265093160
133889b720
14227c04c0
151530687c
hexdb73e18

230112792 has 256 divisors, whose sum is σ = 822528000. Its totient is φ = 57936384.

The previous prime is 230112791. The next prime is 230112797. The reversal of 230112792 is 297211032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230112791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451834 + ... + 452342.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2230112792 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 230112792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

230112792 is an abundant number, since it is smaller than the sum of its proper divisors (592415208).

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

230112792 is a wasteful number, since it uses less digits than its factorization.

230112792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 230112792 is about 15169.4690744271. The cubic root of 230112792 is about 612.7927059670.

The spelling of 230112792 in words is "two hundred thirty million, one hundred twelve thousand, seven hundred ninety-two".