30210144 has 48 divisors (see below), whose sum is σ = 79915248. Its totient is φ = 9992192.

The previous prime is 30210127. The next prime is 30210149. The reversal of 30210144 is 44101203.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30210149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12004 + ... + 14300.

It is an arithmetic number, because the mean of its divisors is an integer number (1664901).

Almost surely, 2^30210144 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 30210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39957624).

30210144 is an abundant number, since it is smaller than the sum of its proper divisors (49705104).

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

30210144 is a wasteful number, since it uses less digits than its factorization.

30210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30210144 is about 5496.3755330217. The cubic root of 30210144 is about 311.4470811961.

Adding to 30210144 its reverse (44101203), we get a palindrome (74311347).

The spelling of 30210144 in words is "thirty million, two hundred ten thousand, one hundred forty-four".