242202144 has 96 divisors (see below), whose sum is σ = 679117824. Its totient is φ = 75398400.

The previous prime is 242202143. The next prime is 242202203. The reversal of 242202144 is 441202242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 242202144.

It is not an unprimeable number, because it can be changed into a prime (242202143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93669 + ... + 96219.

It is an arithmetic number, because the mean of its divisors is an integer number (7074144).

Almost surely, 2^242202144 is an apocalyptic number.

242202144 is a gapful number since it is divisible by the number (24) 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 242202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339558912).

242202144 is an abundant number, since it is smaller than the sum of its proper divisors (436915680).

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

242202144 is a wasteful number, since it uses less digits than its factorization.

242202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 242202144 is about 15562.8449841281. The cubic root of 242202144 is about 623.3414320839.

Adding to 242202144 its reverse (441202242), we get a palindrome (683404386).

The spelling of 242202144 in words is "two hundred forty-two million, two hundred two thousand, one hundred forty-four".