242214320 has 40 divisors (see below), whose sum is σ = 564395424. Its totient is φ = 96671232.

The previous prime is 242214319. The next prime is 242214361. The reversal of 242214320 is 23412242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242214292 and 242214301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35852 + ... + 42068.

Almost surely, 2^242214320 is an apocalyptic number.

242214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242214320 is an abundant number, since it is smaller than the sum of its proper divisors (322181104).

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

242214320 is a wasteful number, since it uses less digits than its factorization.

242214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242214320 is about 15563.2361673272. The cubic root of 242214320 is about 623.3518774609.

Adding to 242214320 its reverse (23412242), we get a palindrome (265626562).

The spelling of 242214320 in words is "two hundred forty-two million, two hundred fourteen thousand, three hundred twenty".