242193000 has 256 divisors, whose sum is σ = 910540800. Its totient is φ = 52358400.

The previous prime is 242192989. The next prime is 242193001. The reversal of 242193000 is 391242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (242193001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398697 + ... + 399303.

It is an arithmetic number, because the mean of its divisors is an integer number (3556800).

Almost surely, 2^242193000 is an apocalyptic number.

242193000 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 242193000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455270400).

242193000 is an abundant number, since it is smaller than the sum of its proper divisors (668347800).

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

242193000 is a wasteful number, since it uses less digits than its factorization.

242193000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 242193000 is about 15562.5512047350. The cubic root of 242193000 is about 623.3335875266. Note that the first 3 decimals are identical.

The spelling of 242193000 in words is "two hundred forty-two million, one hundred ninety-three thousand".