224001040 has 80 divisors (see below), whose sum is σ = 550964736. Its totient is φ = 84556800.

The previous prime is 224001023. The next prime is 224001053. The reversal of 224001040 is 40100422.

224001040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 224001040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100579 + ... + 102781.

Almost surely, 2^224001040 is an apocalyptic number.

224001040 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 224001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275482368).

224001040 is an abundant number, since it is smaller than the sum of its proper divisors (326963696).

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

224001040 is a wasteful number, since it uses less digits than its factorization.

224001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 224001040 is about 14966.6642910169. The cubic root of 224001040 is about 607.3187342703.

Adding to 224001040 its reverse (40100422), we get a palindrome (264101462).

The spelling of 224001040 in words is "two hundred twenty-four million, one thousand, forty".