242228280 has 128 divisors (see below), whose sum is σ = 833633280. Its totient is φ = 55157760.

The previous prime is 242228267. The next prime is 242228281. The reversal of 242228280 is 82822242.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 (242228281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383565 + ... + 384195.

It is an arithmetic number, because the mean of its divisors is an integer number (6512760).

Almost surely, 2^242228280 is an apocalyptic number.

242228280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242228280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416816640).

242228280 is an abundant number, since it is smaller than the sum of its proper divisors (591405000).

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

242228280 is a wasteful number, since it uses less digits than its factorization.

242228280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 242228280 is about 15563.6846537059. The cubic root of 242228280 is about 623.3638528402.

The spelling of 242228280 in words is "two hundred forty-two million, two hundred twenty-eight thousand, two hundred eighty".