224161840 has 80 divisors (see below), whose sum is σ = 597515328. Its totient is φ = 76612608.

The previous prime is 224161823. The next prime is 224161843. The reversal of 224161840 is 48161422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 224161799 and 224161808.

It is not an unprimeable number, because it can be changed into a prime (224161843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342954 + ... + 343606.

Almost surely, 2^224161840 is an apocalyptic number.

224161840 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 224161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298757664).

224161840 is an abundant number, since it is smaller than the sum of its proper divisors (373353488).

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

224161840 is a wasteful number, since it uses less digits than its factorization.

224161840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 224161840 is about 14972.0352657880. The cubic root of 224161840 is about 607.4640215332.

The spelling of 224161840 in words is "two hundred twenty-four million, one hundred sixty-one thousand, eight hundred forty".