221005532000 has 144 divisors (see below), whose sum is σ = 596864189376. Its totient is φ = 80365472000.

The previous prime is 221005531969. The next prime is 221005532009. The reversal of 221005532000 is 235500122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221005532009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255689 + ... + 712311.

It is an arithmetic number, because the mean of its divisors is an integer number (4144890204).

Almost surely, 2^221005532000 is an apocalyptic number.

221005532000 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 221005532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298432094688).

221005532000 is an abundant number, since it is smaller than the sum of its proper divisors (375858657376).

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

221005532000 is a wasteful number, since it uses less digits than its factorization.

221005532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456670 (or 456641 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 221005532000 in words is "two hundred twenty-one billion, five million, five hundred thirty-two thousand".