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230019504 = 2431113233147
BaseRepresentation
bin11011011010111…
…01000110110000
3121000211012102220
431231131012300
5432341111004
634454041040
75462063541
oct1555350660
9530735386
10230019504
11108927070
1265049180
1338868120
14227984c8
15152d8dd9
hexdb5d1b0

230019504 has 320 divisors, whose sum is σ = 767950848. Its totient is φ = 58291200.

The previous prime is 230019487. The next prime is 230019511. The reversal of 230019504 is 405910032.

230019504 is digitally balanced in base 3, 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4894009 + ... + 4894055.

Almost surely, 2230019504 is an apocalyptic number.

230019504 is a gapful number since it is divisible by the number (24) 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 230019504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383975424).

230019504 is an abundant number, since it is smaller than the sum of its proper divisors (537931344).

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

230019504 is a wasteful number, since it uses less digits than its factorization.

230019504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 230019504 is about 15166.3939023091. The cubic root of 230019504 is about 612.7098858099.

Adding to 230019504 its reverse (405910032), we get a palindrome (635929536).

The spelling of 230019504 in words is "two hundred thirty million, nineteen thousand, five hundred four".