22729248 has 144 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 7278336.

The previous prime is 22729237. The next prime is 22729253. The reversal of 22729248 is 84292722.

It is a happy number.

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 (36).

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, 287673 + ... + 287751.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 2^22729248 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 22729248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

22729248 is an abundant number, since it is smaller than the sum of its proper divisors (46984032).

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

22729248 is an equidigital number, since it uses as much as digits as its factorization.

22729248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 22729248 is about 4767.5201100782. The cubic root of 22729248 is about 283.2663734116.

The spelling of 22729248 in words is "twenty-two million, seven hundred twenty-nine thousand, two hundred forty-eight".