220003430420 has 192 divisors, whose sum is σ = 530623166976. Its totient is φ = 76145541120.

The previous prime is 220003430419. The next prime is 220003430429. The reversal of 220003430420 is 24034300022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220003430392 and 220003430401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220003430429) 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, 24010640 + ... + 24019800.

It is an arithmetic number, because the mean of its divisors is an integer number (2763662328).

Almost surely, 2^220003430420 is an apocalyptic number.

220003430420 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 220003430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265311583488).

220003430420 is an abundant number, since it is smaller than the sum of its proper divisors (310619736556).

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

220003430420 is a wasteful number, since it uses less digits than its factorization.

220003430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 220003430420 its reverse (24034300022), we get a palindrome (244037730442).

The spelling of 220003430420 in words is "two hundred twenty billion, three million, four hundred thirty thousand, four hundred twenty".