Search a number
-
+
230204000 = 25531319233
BaseRepresentation
bin11011011100010…
…10001001100000
3121001011120112002
431232022021200
5432413012000
634502023132
75463462455
oct1556121140
9531146462
10230204000
11108a42744
1265117aa8
13389010b0
142280582c
15153238d5
hexdb8a260

230204000 has 192 divisors, whose sum is σ = 643930560. Its totient is φ = 80179200.

The previous prime is 230203999. The next prime is 230204011. The reversal of 230204000 is 402032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987884 + ... + 988116.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2230204000 is an apocalyptic number.

230204000 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 230204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

230204000 is an abundant number, since it is smaller than the sum of its proper divisors (413726560).

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

230204000 is a wasteful number, since it uses less digits than its factorization.

230204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 230204000 is about 15172.4750782461. The cubic root of 230204000 is about 612.8736578832.

Adding to 230204000 its reverse (402032), we get a palindrome (230606032).

The spelling of 230204000 in words is "two hundred thirty million, two hundred four thousand".