240225216 has 112 divisors (see below), whose sum is σ = 792480000. Its totient is φ = 62392320.

The previous prime is 240225197. The next prime is 240225239. The reversal of 240225216 is 612522042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6660 + ... + 22908.

Almost surely, 2^240225216 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 240225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396240000).

240225216 is an abundant number, since it is smaller than the sum of its proper divisors (552254784).

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

240225216 is a wasteful number, since it uses less digits than its factorization.

240225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16282 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 240225216 is about 15499.2004955094. The cubic root of 240225216 is about 621.6408288833.

Adding to 240225216 its reverse (612522042), we get a palindrome (852747258).

It can be divided in two parts, 240 and 225216, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 240225216 in words is "two hundred forty million, two hundred twenty-five thousand, two hundred sixteen".