224778240 has 240 divisors, whose sum is σ = 808647840. Its totient is φ = 59719680.

The previous prime is 224778221. The next prime is 224778251. The reversal of 224778240 is 42877422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224778195 and 224778204.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 829305 + ... + 829575.

It is an arithmetic number, because the mean of its divisors is an integer number (3369366).

Almost surely, 2^224778240 is an apocalyptic number.

224778240 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 224778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404323920).

224778240 is an abundant number, since it is smaller than the sum of its proper divisors (583869600).

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

224778240 is an equidigital number, since it uses as much as digits as its factorization.

224778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 224778240 is about 14992.6061777131. The cubic root of 224778240 is about 608.0203132641.

The spelling of 224778240 in words is "two hundred twenty-four million, seven hundred seventy-eight thousand, two hundred forty".