10225440 has 144 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 2716416.

The previous prime is 10225433. The next prime is 10225451. The reversal of 10225440 is 4452201.

10225440 is a `hidden beast` number, since 1 + 0 + 225 + 440 = 666.

10225440 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38749 + ... + 39011.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 2^10225440 is an apocalyptic number.

10225440 is a gapful number since it is divisible by the number (10) 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 10225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

10225440 is an abundant number, since it is smaller than the sum of its proper divisors (26098848).

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

10225440 is an equidigital number, since it uses as much as digits as its factorization.

10225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10225440 is about 3197.7241907332. The cubic root of 10225440 is about 217.0504388405.

Adding to 10225440 its reverse (4452201), we get a palindrome (14677641).

The spelling of 10225440 in words is "ten million, two hundred twenty-five thousand, four hundred forty".