234214013000 has 192 divisors, whose sum is σ = 606300130800. Its totient is φ = 84619392000.

The previous prime is 234214012969. The next prime is 234214013041. The reversal of 234214013000 is 310412432.

It can be written as a sum of positive squares in 8 ways, for example, as 20505667204 + 213708345796 = 143198^2 + 462286^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 18990836 + ... + 19003164.

Almost surely, 2^234214013000 is an apocalyptic number.

234214013000 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 234214013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303150065400).

234214013000 is an abundant number, since it is smaller than the sum of its proper divisors (372086117800).

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

234214013000 is a wasteful number, since it uses less digits than its factorization.

234214013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 234214013000 its reverse (310412432), we get a palindrome (234524425432).

The spelling of 234214013000 in words is "two hundred thirty-four billion, two hundred fourteen million, thirteen thousand".