224365140 has 60 divisors (see below), whose sum is σ = 703846836. Its totient is φ = 59830272.

The previous prime is 224365139. The next prime is 224365153. The reversal of 224365140 is 41563422.

224365140 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 651 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32764176 + 191600964 = 5724^2 + 13842^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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, 67629 + ... + 70868.

Almost surely, 2^224365140 is an apocalyptic number.

224365140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224365140 is an abundant number, since it is smaller than the sum of its proper divisors (479481696).

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

224365140 is a wasteful number, since it uses less digits than its factorization.

224365140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138518 (or 138507 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 224365140 is about 14978.8230512280. The cubic root of 224365140 is about 607.6476093073.

The spelling of 224365140 in words is "two hundred twenty-four million, three hundred sixty-five thousand, one hundred forty".