221074000 has 80 divisors (see below), whose sum is σ = 610960896. Its totient is φ = 75792000.

The previous prime is 221073997. The next prime is 221074031. The reversal of 221074000 is 470122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6105 + ... + 21895.

Almost surely, 2^221074000 is an apocalyptic number.

221074000 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 221074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305480448).

221074000 is an abundant number, since it is smaller than the sum of its proper divisors (389886896).

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

221074000 is a wasteful number, since it uses less digits than its factorization.

221074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15821 (or 15805 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 221074000 is about 14868.5574283452. The cubic root of 221074000 is about 604.6618331909.

The spelling of 221074000 in words is "two hundred twenty-one million, seventy-four thousand".