224691840 has 128 divisors (see below), whose sum is σ = 795844800. Its totient is φ = 59913216.

The previous prime is 224691793. The next prime is 224691871. The reversal of 224691840 is 48196422.

224691840 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 (128).

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 = 224691795 and 224691804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10779 + ... + 23781.

Almost surely, 2^224691840 is an apocalyptic number.

224691840 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 224691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397922400).

224691840 is an abundant number, since it is smaller than the sum of its proper divisors (571152960).

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

224691840 is a wasteful number, since it uses less digits than its factorization.

224691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13031 (or 13013 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 224691840 is about 14989.7244804566. The cubic root of 224691840 is about 607.9423998988.

The spelling of 224691840 in words is "two hundred twenty-four million, six hundred ninety-one thousand, eight hundred forty".