30425220224 has 64 divisors (see below), whose sum is σ = 69535635840. Its totient is φ = 12989700096.

The previous prime is 30425220209. The next prime is 30425220253. The reversal of 30425220224 is 42202252403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×30425220224³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 30425220193 and 30425220202.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 171092 + ... + 300204.

It is an arithmetic number, because the mean of its divisors is an integer number (1086494310).

Almost surely, 2^30425220224 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 30425220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34767817920).

30425220224 is an abundant number, since it is smaller than the sum of its proper divisors (39110415616).

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

30425220224 is a wasteful number, since it uses less digits than its factorization.

30425220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129397 (or 129385 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 30425220224 its reverse (42202252403), we get a palindrome (72627472627).

The spelling of 30425220224 in words is "thirty billion, four hundred twenty-five million, two hundred twenty thousand, two hundred twenty-four".