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230841600 = 28352111093
BaseRepresentation
bin11011100001001…
…01110100000000
3121002100222010220
431300211310000
5433043412400
634523423040
75502056403
oct1560456400
9532328126
10230841600
11109338790
1265384a80
1338a95382
142292dd3a
15153ec7a0
hexdc25d00

230841600 has 216 divisors, whose sum is σ = 831842592. Its totient is φ = 55910400.

The previous prime is 230841539. The next prime is 230841607. The reversal of 230841600 is 6148032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230841607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210654 + ... + 211746.

Almost surely, 2230841600 is an apocalyptic number.

230841600 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 230841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415921296).

230841600 is an abundant number, since it is smaller than the sum of its proper divisors (601000992).

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

230841600 is a wasteful number, since it uses less digits than its factorization.

230841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 230841600 is about 15193.4722825298. The cubic root of 230841600 is about 613.4389652133.

Adding to 230841600 its reverse (6148032), we get a palindrome (236989632).

The spelling of 230841600 in words is "two hundred thirty million, eight hundred forty-one thousand, six hundred".