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230233032 = 233219316189
BaseRepresentation
bin11011011100100…
…01001111001000
3121001020001100100
431232101033020
5432414424112
634502405400
75463643221
oct1556211710
9531201310
10230233032
11108a62537
1265130860
1338911383
1422812248
151532c2dc
hexdb913c8

230233032 has 192 divisors, whose sum is σ = 696384000. Its totient is φ = 68428800.

The previous prime is 230233019. The next prime is 230233037. The reversal of 230233032 is 230332032.

230233032 is a `hidden beast` number, since 2 + 302 + 330 + 32 = 666.

230233032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230232996 and 230233014.

It is not an unprimeable number, because it can be changed into a prime (230233037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2586844 + ... + 2586932.

It is an arithmetic number, because the mean of its divisors is an integer number (3627000).

Almost surely, 2230233032 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 230233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192000).

230233032 is an abundant number, since it is smaller than the sum of its proper divisors (466150968).

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

230233032 is a wasteful number, since it uses less digits than its factorization.

230233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230233032 is about 15173.4317805828. The cubic root of 230233032 is about 612.8994208298.

Adding to 230233032 its reverse (230332032), we get a palindrome (460565064).

The spelling of 230233032 in words is "two hundred thirty million, two hundred thirty-three thousand, thirty-two".