221144040 has 256 divisors, whose sum is σ = 836640000. Its totient is φ = 51508224.

The previous prime is 221144023. The next prime is 221144047. The reversal of 221144040 is 40441122.

221144040 is a `hidden beast` number, since 221 + 1 + 440 + 4 + 0 = 666.

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 (221144047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266346 + ... + 267174.

It is an arithmetic number, because the mean of its divisors is an integer number (3268125).

Almost surely, 2^221144040 is an apocalyptic number.

221144040 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 221144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418320000).

221144040 is an abundant number, since it is smaller than the sum of its proper divisors (615495960).

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

221144040 is a wasteful number, since it uses less digits than its factorization.

221144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221144040 is about 14870.9125476549. The cubic root of 221144040 is about 604.7256821632.

Adding to 221144040 its reverse (40441122), we get a palindrome (261585162).

The spelling of 221144040 in words is "two hundred twenty-one million, one hundred forty-four thousand, forty".