224159040 has 168 divisors, whose sum is σ = 881237760. Its totient is φ = 51231744.

The previous prime is 224159029. The next prime is 224159051. The reversal of 224159040 is 40951422.

It is an interprime number because it is at equal distance from previous prime (224159029) and next prime (224159051).

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 224158995 and 224159013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14601 + ... + 25719.

Almost surely, 2^224159040 is an apocalyptic number.

224159040 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 224159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440618880).

224159040 is an abundant number, since it is smaller than the sum of its proper divisors (657078720).

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

224159040 is a wasteful number, since it uses less digits than its factorization.

224159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11149 (or 11136 counting only the distinct ones).

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

The square root of 224159040 is about 14971.9417578349. The cubic root of 224159040 is about 607.4614922500.

The spelling of 224159040 in words is "two hundred twenty-four million, one hundred fifty-nine thousand, forty".