224674000 has 40 divisors (see below), whose sum is σ = 543266568. Its totient is φ = 89868800.

The previous prime is 224673997. The next prime is 224674007. The reversal of 224674000 is 476422.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 224640144 = 184^2 + 14988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224674007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54169 + ... + 58168.

Almost surely, 2^224674000 is an apocalyptic number.

224674000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224674000 is an abundant number, since it is smaller than the sum of its proper divisors (318592568).

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

224674000 is a wasteful number, since it uses less digits than its factorization.

224674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112360 (or 112344 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 224674000 is about 14989.1293943311. The cubic root of 224674000 is about 607.9263097440.

The spelling of 224674000 in words is "two hundred twenty-four million, six hundred seventy-four thousand".