220433415000 has 160 divisors (see below), whose sum is σ = 688993451520. Its totient is φ = 58751568000.

The previous prime is 220433414969. The next prime is 220433415061. The reversal of 220433415000 is 514334022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55903029 + ... + 55906971.

It is an arithmetic number, because the mean of its divisors is an integer number (4306209072).

Almost surely, 2^220433415000 is an apocalyptic number.

220433415000 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 220433415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344496725760).

220433415000 is an abundant number, since it is smaller than the sum of its proper divisors (468560036520).

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

220433415000 is a wasteful number, since it uses less digits than its factorization.

220433415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 220433415000 its reverse (514334022), we get a palindrome (220947749022).

The spelling of 220433415000 in words is "two hundred twenty billion, four hundred thirty-three million, four hundred fifteen thousand".