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230030400 = 26352172819
BaseRepresentation
bin11011011010111…
…11110001000000
3121000211202101110
431231133301000
5432341433100
634454203320
75462140365
oct1555376100
9530752343
10230030400
11108934276
1265053540
1338870082
142279c46c
15152dc250
hexdb5fc40

230030400 has 168 divisors, whose sum is σ = 799368480. Its totient is φ = 57712640.

The previous prime is 230030393. The next prime is 230030483. The reversal of 230030400 is 4030032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80191 + ... + 83009.

Almost surely, 2230030400 is an apocalyptic number.

230030400 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 230030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399684240).

230030400 is an abundant number, since it is smaller than the sum of its proper divisors (569338080).

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

230030400 is a wasteful number, since it uses less digits than its factorization.

230030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2846 counting only the distinct ones).

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

The square root of 230030400 is about 15166.7531133068. The cubic root of 230030400 is about 612.7195603250.

Adding to 230030400 its reverse (4030032), we get a palindrome (234060432).

The spelling of 230030400 in words is "two hundred thirty million, thirty thousand, four hundred".