221142300 has 72 divisors (see below), whose sum is σ = 641636016. Its totient is φ = 58805760.

The previous prime is 221142293. The next prime is 221142343. The reversal of 221142300 is 3241122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221142300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136294 + ... + 137906.

Almost surely, 2^221142300 is an apocalyptic number.

221142300 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 221142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320818008).

221142300 is an abundant number, since it is smaller than the sum of its proper divisors (420493716).

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

221142300 is a wasteful number, since it uses less digits than its factorization.

221142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2080 counting only the distinct ones).

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

The square root of 221142300 is about 14870.8540440689. The cubic root of 221142300 is about 604.7240961299.

Adding to 221142300 its reverse (3241122), we get a palindrome (224383422).

The spelling of 221142300 in words is "two hundred twenty-one million, one hundred forty-two thousand, three hundred".