230133420 has 384 divisors, whose sum is σ = 862202880. Its totient is φ = 50319360.

The previous prime is 230133391. The next prime is 230133433. The reversal of 230133420 is 24331032.

230133420 is a `hidden beast` number, since 230 + 13 + 3 + 420 = 666.

It is a super-2 number, since 2×230133420² = 105922782001792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230133393 and 230133402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4342114 + ... + 4342166.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^230133420 is an apocalyptic number.

230133420 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 230133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431101440).

230133420 is an abundant number, since it is smaller than the sum of its proper divisors (632069460).

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

230133420 is a wasteful number, since it uses less digits than its factorization.

230133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230133420 is about 15170.1489775150. The cubic root of 230133420 is about 612.8110162779.

Adding to 230133420 its reverse (24331032), we get a palindrome (254464452).

It can be divided in two parts, 2301 and 33420, that added together give a square (35721 = 189²).

The spelling of 230133420 in words is "two hundred thirty million, one hundred thirty-three thousand, four hundred twenty".