221000166024 has 128 divisors (see below), whose sum is σ = 623346278400. Its totient is φ = 64714890240.

The previous prime is 221000166007. The next prime is 221000166061. The reversal of 221000166024 is 420661000122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221000165985 and 221000166003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867504 + ... + 1092960.

It is an arithmetic number, because the mean of its divisors is an integer number (4869892800).

Almost surely, 2^221000166024 is an apocalyptic number.

221000166024 is a gapful number since it is divisible by the number (24) 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 221000166024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311673139200).

221000166024 is an abundant number, since it is smaller than the sum of its proper divisors (402346112376).

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

221000166024 is a wasteful number, since it uses less digits than its factorization.

221000166024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225603 (or 225599 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221000166024 its reverse (420661000122), we get a palindrome (641661166146).

The spelling of 221000166024 in words is "two hundred twenty-one billion, one hundred sixty-six thousand, twenty-four".