10157224 has 48 divisors (see below), whose sum is σ = 23940000. Its totient is φ = 3954720.

The previous prime is 10157209. The next prime is 10157227. The reversal of 10157224 is 42275101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10157195 and 10157204.

It is not an unprimeable number, because it can be changed into a prime (10157227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6027 + ... + 7525.

It is an arithmetic number, because the mean of its divisors is an integer number (498750).

Almost surely, 2^10157224 is an apocalyptic number.

10157224 is a gapful number since it is divisible by the number (14) 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 10157224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970000).

10157224 is an abundant number, since it is smaller than the sum of its proper divisors (13782776).

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

10157224 is a wasteful number, since it uses less digits than its factorization.

10157224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 10157224 is about 3187.0400060244. The cubic root of 10157224 is about 216.5666989192.

The spelling of 10157224 in words is "ten million, one hundred fifty-seven thousand, two hundred twenty-four".