242225940 has 96 divisors (see below), whose sum is σ = 763822080. Its totient is φ = 56822400.

The previous prime is 242225933. The next prime is 242225941. The reversal of 242225940 is 49522242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242225898 and 242225907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242225941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14541 + ... + 26379.

It is an arithmetic number, because the mean of its divisors is an integer number (7956480).

Almost surely, 2^242225940 is an apocalyptic number.

242225940 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 242225940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381911040).

242225940 is an abundant number, since it is smaller than the sum of its proper divisors (521596140).

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

242225940 is a wasteful number, since it uses less digits than its factorization.

242225940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 242225940 is about 15563.6094785239. The cubic root of 242225940 is about 623.3618455379.

The spelling of 242225940 in words is "two hundred forty-two million, two hundred twenty-five thousand, nine hundred forty".