242353100 has 72 divisors (see below), whose sum is σ = 584681328. Its totient is φ = 86444800.

The previous prime is 242353099. The next prime is 242353109. The reversal of 242353100 is 1353242.

It is a happy number.

It is a super-2 number, since 2×242353100² = 117470050159220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (242353109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56222 + ... + 60378.

It is an arithmetic number, because the mean of its divisors is an integer number (8120574).

Almost surely, 2^242353100 is an apocalyptic number.

242353100 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 242353100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292340664).

242353100 is an abundant number, since it is smaller than the sum of its proper divisors (342328228).

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

242353100 is a wasteful number, since it uses less digits than its factorization.

242353100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 242353100 is about 15567.6941131306. The cubic root of 242353100 is about 623.4709073854.

The spelling of 242353100 in words is "two hundred forty-two million, three hundred fifty-three thousand, one hundred".