220146417700 has 144 divisors (see below), whose sum is σ = 523920841920. Its totient is φ = 79628544000.

The previous prime is 220146417677. The next prime is 220146417721. The reversal of 220146417700 is 7714641022.

It is a happy number.

It is a super-2 number, since 2×220146417700² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289285320 + ... + 289286080.

It is an arithmetic number, because the mean of its divisors is an integer number (3638339180).

Almost surely, 2^220146417700 is an apocalyptic number.

220146417700 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 220146417700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261960420960).

220146417700 is an abundant number, since it is smaller than the sum of its proper divisors (303774424220).

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

220146417700 is a wasteful number, since it uses less digits than its factorization.

220146417700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 220146417700 in words is "two hundred twenty billion, one hundred forty-six million, four hundred seventeen thousand, seven hundred".