221061000 has 128 divisors (see below), whose sum is σ = 712258560. Its totient is φ = 57024000.

The previous prime is 221060993. The next prime is 221061007. The reversal of 221061000 is 160122.

221061000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221060993) and next prime (221061007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221061007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91812 + ... + 94188.

It is an arithmetic number, because the mean of its divisors is an integer number (5564520).

Almost surely, 2^221061000 is an apocalyptic number.

221061000 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 221061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356129280).

221061000 is an abundant number, since it is smaller than the sum of its proper divisors (491197560).

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

221061000 is a wasteful number, since it uses less digits than its factorization.

221061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221061000 is about 14868.1202577865. The cubic root of 221061000 is about 604.6499808128.

The spelling of 221061000 in words is "two hundred twenty-one million, sixty-one thousand".