221460000 has 120 divisors (see below), whose sum is σ = 726629904. Its totient is φ = 59040000.

The previous prime is 221459993. The next prime is 221460007. The reversal of 221460000 is 64122.

It is an interprime number because it is at equal distance from previous prime (221459993) and next prime (221460007).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (221460007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58155 + ... + 61845.

Almost surely, 2^221460000 is an apocalyptic number.

221460000 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 221460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363314952).

221460000 is an abundant number, since it is smaller than the sum of its proper divisors (505169904).

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

221460000 is an equidigital number, since it uses as much as digits as its factorization.

221460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221460000 is about 14881.5321791810. The cubic root of 221460000 is about 605.0135461302.

The spelling of 221460000 in words is "two hundred twenty-one million, four hundred sixty thousand".