234024352100220 has 192 divisors, whose sum is σ = 720498363088896. Its totient is φ = 56283982110720.

The previous prime is 234024352100167. The next prime is 234024352100221. The reversal of 234024352100220 is 22001253420432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234024352100221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2524025302 + ... + 2524118018.

It is an arithmetic number, because the mean of its divisors is an integer number (3752595641088).

Almost surely, 2^{234024352100220} is an apocalyptic number.

234024352100220 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 234024352100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360249181544448).

234024352100220 is an abundant number, since it is smaller than the sum of its proper divisors (486474010988676).

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

234024352100220 is a wasteful number, since it uses less digits than its factorization.

234024352100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122980 (or 122978 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 234024352100220 in words is "two hundred thirty-four trillion, twenty-four billion, three hundred fifty-two million, one hundred thousand, two hundred twenty".