230142000 has 240 divisors, whose sum is σ = 818135136. Its totient is φ = 55616000.

The previous prime is 230141987. The next prime is 230142013. The reversal of 230142000 is 241032.

230142000 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 (230141987) and next prime (230142013).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 725842 + ... + 726158.

Almost surely, 2^230142000 is an apocalyptic number.

230142000 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 230142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409067568).

230142000 is an abundant number, since it is smaller than the sum of its proper divisors (587993136).

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

230142000 is a wasteful number, since it uses less digits than its factorization.

230142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230142000 is about 15170.4317670922. The cubic root of 230142000 is about 612.8186319372.

Adding to 230142000 its reverse (241032), we get a palindrome (230383032).

The spelling of 230142000 in words is "two hundred thirty million, one hundred forty-two thousand".