30145224 has 64 divisors (see below), whose sum is σ = 78120000. Its totient is φ = 9688320.

The previous prime is 30145207. The next prime is 30145231. The reversal of 30145224 is 42254103.

It is a super-3 number, since 3×30145224³ (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30145224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86202 + ... + 86550.

It is an arithmetic number, because the mean of its divisors is an integer number (1220625).

Almost surely, 2^30145224 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 30145224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060000).

30145224 is an abundant number, since it is smaller than the sum of its proper divisors (47974776).

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

30145224 is a wasteful number, since it uses less digits than its factorization.

30145224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 30145224 is about 5490.4666468343. The cubic root of 30145224 is about 311.2238267696.

Adding to 30145224 its reverse (42254103), we get a palindrome (72399327).

It can be divided in two parts, 301452 and 24, that added together give a triangular number (301476 = T₇₇₆).

The spelling of 30145224 in words is "thirty million, one hundred forty-five thousand, two hundred twenty-four".