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230203200 = 26352199241
BaseRepresentation
bin11011011100010…
…01111101000000
3121001011112102110
431232021331000
5432413000300
634502015320
75463460233
oct1556117500
9531145373
10230203200
11108a42087
1265117540
1338900916
142280541a
1515323550
hexdb89f40

230203200 has 168 divisors, whose sum is σ = 762203200. Its totient is φ = 60825600.

The previous prime is 230203199. The next prime is 230203201. The reversal of 230203200 is 2302032.

230203200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230203199) and next prime (230203201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230203201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955080 + ... + 955320.

Almost surely, 2230203200 is an apocalyptic number.

230203200 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 230203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381101600).

230203200 is an abundant number, since it is smaller than the sum of its proper divisors (532000000).

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

230203200 is a wasteful number, since it uses less digits than its factorization.

230203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230203200 is about 15172.4487146934. The cubic root of 230203200 is about 612.8729479339.

Adding to 230203200 its reverse (2302032), we get a palindrome (232505232).

Multiplying 230203200 by its reverse (2302032), we get a square (529935132902400 = 230203202).

230203200 divided by its reverse (2302032) gives a square (100 = 102).

The spelling of 230203200 in words is "two hundred thirty million, two hundred three thousand, two hundred".