220230141032022 has 384 divisors, whose sum is σ = 502677538896384. Its totient is φ = 64303676236800.

The previous prime is 220230141032009. The next prime is 220230141032087.

220230141032022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220230141031983 and 220230141032001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402614517153 + ... + 402614517699.

It is an arithmetic number, because the mean of its divisors is an integer number (1309056090876).

Almost surely, 2^{220230141032022} is an apocalyptic number.

220230141032022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220230141032022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251338769448192).

220230141032022 is an abundant number, since it is smaller than the sum of its proper divisors (282447397864362).

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

220230141032022 is a wasteful number, since it uses less digits than its factorization.

220230141032022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 220230141032022 in words is "two hundred twenty trillion, two hundred thirty billion, one hundred forty-one million, thirty-two thousand, twenty-two".