221265600 has 168 divisors, whose sum is σ = 749856768. Its totient is φ = 57062400.

The previous prime is 221265599. The next prime is 221265601. The reversal of 221265600 is 6562122.

It is an interprime number because it is at equal distance from previous prime (221265599) and next prime (221265601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221265601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148057 + ... + 149543.

Almost surely, 2^221265600 is an apocalyptic number.

221265600 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 221265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374928384).

221265600 is an abundant number, since it is smaller than the sum of its proper divisors (528591168).

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

221265600 is a wasteful number, since it uses less digits than its factorization.

221265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 221265600 is about 14874.9991596638. Note that the first 3 decimals coincide. The cubic root of 221265600 is about 604.8364651455.

The spelling of 221265600 in words is "two hundred twenty-one million, two hundred sixty-five thousand, six hundred".