242253000 has 192 divisors, whose sum is σ = 893617920. Its totient is φ = 58704000.

The previous prime is 242252987. The next prime is 242253007. The reversal of 242253000 is 352242.

242253000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242253007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97777 + ... + 100223.

It is an arithmetic number, because the mean of its divisors is an integer number (4654260).

Almost surely, 2^242253000 is an apocalyptic number.

242253000 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 242253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446808960).

242253000 is an abundant number, since it is smaller than the sum of its proper divisors (651364920).

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

242253000 is a wasteful number, since it uses less digits than its factorization.

242253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242253000 is about 15564.4787898599. The cubic root of 242253000 is about 623.3850573974.

It can be divided in two parts, 24225 and 3000, that added together give a square (27225 = 165²).

The spelling of 242253000 in words is "two hundred forty-two million, two hundred fifty-three thousand".