10144224 has 96 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3307392.

The previous prime is 10144217. The next prime is 10144231. The reversal of 10144224 is 42244101.

It is a Cunningham number, because it is equal to 3185²-1.

It is an interprime number because it is at equal distance from previous prime (10144217) and next prime (10144231).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 10144197 and 10144206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50877 + ... + 51075.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 2^10144224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

10144224 is an abundant number, since it is smaller than the sum of its proper divisors (20095776).

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

10144224 is a wasteful number, since it uses less digits than its factorization.

10144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

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

The square root of 10144224 is about 3184.9998430141. Note that the first 3 decimals coincide. The cubic root of 10144224 is about 216.4742665430.

Adding to 10144224 its reverse (42244101), we get a palindrome (52388325).

The spelling of 10144224 in words is "ten million, one hundred forty-four thousand, two hundred twenty-four".