242888100 has 432 divisors, whose sum is σ = 930940416. Its totient is φ = 48384000.

The previous prime is 242888083. The next prime is 242888147. The reversal of 242888100 is 1888242.

It is a super-2 number, since 2×242888100² = 117989258243220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5924080 + ... + 5924120.

Almost surely, 2^242888100 is an apocalyptic number.

242888100 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 242888100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465470208).

242888100 is an abundant number, since it is smaller than the sum of its proper divisors (688052316).

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

242888100 is a wasteful number, since it uses less digits than its factorization.

242888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 242888100 is about 15584.8676606508. The cubic root of 242888100 is about 623.9293456327.

The spelling of 242888100 in words is "two hundred forty-two million, eight hundred eighty-eight thousand, one hundred".