242223100 has 72 divisors (see below), whose sum is σ = 603273888. Its totient is φ = 82694400.

The previous prime is 242223073. The next prime is 242223151. The reversal of 242223100 is 1322242.

It is a super-2 number, since 2×242223100² = 117344060347220000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204510 + ... + 205690.

It is an arithmetic number, because the mean of its divisors is an integer number (8378804).

Almost surely, 2^242223100 is an apocalyptic number.

242223100 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 242223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301636944).

242223100 is an abundant number, since it is smaller than the sum of its proper divisors (361050788).

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

242223100 is a wasteful number, since it uses less digits than its factorization.

242223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242223100 is about 15563.5182397811. The cubic root of 242223100 is about 623.3594093076.

Adding to 242223100 its reverse (1322242), we get a palindrome (243545342).

The spelling of 242223100 in words is "two hundred forty-two million, two hundred twenty-three thousand, one hundred".