242250100 has 72 divisors (see below), whose sum is σ = 544137048. Its totient is φ = 93542400.

The previous prime is 242250061. The next prime is 242250101. The reversal of 242250100 is 1052242.

242250100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 32695524 + 209554576 = 5718^2 + 14476^2 .

It is a super-2 number, since 2×242250100² = 117370221900020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242250101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861960 + ... + 862240.

It is an arithmetic number, because the mean of its divisors is an integer number (7557459).

Almost surely, 2^242250100 is an apocalyptic number.

242250100 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 242250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272068524).

242250100 is an abundant number, since it is smaller than the sum of its proper divisors (301886948).

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

242250100 is a wasteful number, since it uses less digits than its factorization.

242250100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 242250100 is about 15564.3856287359. The cubic root of 242250100 is about 623.3825698824.

The spelling of 242250100 in words is "two hundred forty-two million, two hundred fifty thousand, one hundred".