224002020 has 96 divisors (see below), whose sum is σ = 720276480. Its totient is φ = 51442560.

The previous prime is 224002019. The next prime is 224002021. The reversal of 224002020 is 20200422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224002019) and next prime (224002021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 224001987 and 224002005.

It is not an unprimeable number, because it can be changed into a prime (224002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (7502880).

Almost surely, 2^224002020 is an apocalyptic number.

224002020 is a gapful number since it is divisible by the number (20) 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 224002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360138240).

224002020 is an abundant number, since it is smaller than the sum of its proper divisors (496274460).

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

224002020 is a wasteful number, since it uses less digits than its factorization.

224002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17905 (or 17903 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224002020 is about 14966.6970304072. The cubic root of 224002020 is about 607.3196199380.

Adding to 224002020 its reverse (20200422), we get a palindrome (244202442).

The spelling of 224002020 in words is "two hundred twenty-four million, two thousand, twenty".