224768742 has 64 divisors (see below), whose sum is σ = 514584576. Its totient is φ = 64787360.

The previous prime is 224768723. The next prime is 224768749. The reversal of 224768742 is 247867422.

It is a junction number, because it is equal to n+sod(n) for n = 224768694 and 224768703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224768749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398953 + ... + 399515.

It is an arithmetic number, because the mean of its divisors is an integer number (8040384).

Almost surely, 2^224768742 is an apocalyptic number.

224768742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224768742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257292288).

224768742 is an abundant number, since it is smaller than the sum of its proper divisors (289815834).

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

224768742 is a wasteful number, since it uses less digits than its factorization.

224768742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865.

The product of its digits is 301056, while the sum is 42.

The square root of 224768742 is about 14992.2894182310. The cubic root of 224768742 is about 608.0117491814.

The spelling of 224768742 in words is "two hundred twenty-four million, seven hundred sixty-eight thousand, seven hundred forty-two".