221251253200 has 480 divisors, whose sum is σ = 628506915840. Its totient is φ = 74251468800.

The previous prime is 221251253141. The next prime is 221251253213. The reversal of 221251253200 is 2352152122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148191654 + ... + 148193146.

It is an arithmetic number, because the mean of its divisors is an integer number (1309389408).

Almost surely, 2^221251253200 is an apocalyptic number.

221251253200 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 221251253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314253457920).

221251253200 is an abundant number, since it is smaller than the sum of its proper divisors (407255662640).

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

221251253200 is a wasteful number, since it uses less digits than its factorization.

221251253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 221251253200 in words is "two hundred twenty-one billion, two hundred fifty-one million, two hundred fifty-three thousand, two hundred".