221462200 has 48 divisors (see below), whose sum is σ = 516239280. Its totient is φ = 88354560.

The previous prime is 221462191. The next prime is 221462209. The reversal of 221462200 is 2264122.

It is an interprime number because it is at equal distance from previous prime (221462191) and next prime (221462209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221462209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90189 + ... + 92611.

It is an arithmetic number, because the mean of its divisors is an integer number (10754985).

Almost surely, 2^221462200 is an apocalyptic number.

221462200 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 221462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258119640).

221462200 is an abundant number, since it is smaller than the sum of its proper divisors (294777080).

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

221462200 is a wasteful number, since it uses less digits than its factorization.

221462200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 221462200 is about 14881.6060961174. The cubic root of 221462200 is about 605.0155495400.

The spelling of 221462200 in words is "two hundred twenty-one million, four hundred sixty-two thousand, two hundred".