224195040 has 120 divisors (see below), whose sum is σ = 791267400. Its totient is φ = 59781888.

The previous prime is 224195021. The next prime is 224195071. The reversal of 224195040 is 40591422.

224195040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224194995 and 224195013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4311 + ... + 21609.

It is an arithmetic number, because the mean of its divisors is an integer number (6593895).

Almost surely, 2^224195040 is an apocalyptic number.

224195040 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 224195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395633700).

224195040 is an abundant number, since it is smaller than the sum of its proper divisors (567072360).

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

224195040 is a wasteful number, since it uses less digits than its factorization.

224195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17326 (or 17309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 224195040 is about 14973.1439584344. The cubic root of 224195040 is about 607.4940100004.

The spelling of 224195040 in words is "two hundred twenty-four million, one hundred ninety-five thousand, forty".