221351040 has 192 divisors, whose sum is σ = 775232640. Its totient is φ = 58189824.

The previous prime is 221351023. The next prime is 221351041. The reversal of 221351040 is 40153122.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221351041) 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, 477849 + ... + 478311.

It is an arithmetic number, because the mean of its divisors is an integer number (4037670).

Almost surely, 2^221351040 is an apocalyptic number.

221351040 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 221351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387616320).

221351040 is an abundant number, since it is smaller than the sum of its proper divisors (553881600).

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

221351040 is a wasteful number, since it uses less digits than its factorization.

221351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221351040 is about 14877.8708154090. The cubic root of 221351040 is about 604.9143061014.

The spelling of 221351040 in words is "two hundred twenty-one million, three hundred fifty-one thousand, forty".