20224512 has 320 divisors, whose sum is σ = 78566400. Its totient is φ = 4976640.

The previous prime is 20224511. The next prime is 20224517. The reversal of 20224512 is 21542202.

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

It is not an unprimeable number, because it can be changed into a prime (20224511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064439 + ... + 1064457.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^20224512 is an apocalyptic number.

20224512 is a gapful number since it is divisible by the number (22) 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 20224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

20224512 is an abundant number, since it is smaller than the sum of its proper divisors (58341888).

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

20224512 is a wasteful number, since it uses less digits than its factorization.

20224512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

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

The square root of 20224512 is about 4497.1671083027. The cubic root of 20224512 is about 272.4536834560.

Adding to 20224512 its reverse (21542202), we get a palindrome (41766714).

It can be divided in two parts, 20224 and 512, that added together give a 4-th power (20736 = 12⁴).

The spelling of 20224512 in words is "twenty million, two hundred twenty-four thousand, five hundred twelve".