242254100 has 54 divisors (see below), whose sum is σ = 577854942. Its totient is φ = 88088000.

The previous prime is 242254087. The next prime is 242254127. The reversal of 242254100 is 1452242.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 241926916 = 572^2 + 15554^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2090 + ... + 22110.

Almost surely, 2^242254100 is an apocalyptic number.

242254100 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 242254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288927471).

242254100 is an abundant number, since it is smaller than the sum of its proper divisors (335600842).

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

242254100 is a wasteful number, since it uses less digits than its factorization.

242254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20057 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 242254100 is about 15564.5141266922. The cubic root of 242254100 is about 623.3860009324.

The spelling of 242254100 in words is "two hundred forty-two million, two hundred fifty-four thousand, one hundred".