224958195 has 256 divisors, whose sum is σ = 564019200. Its totient is φ = 82114560.

The previous prime is 224958169. The next prime is 224958197. The reversal of 224958195 is 591859422.

It is a happy number.

224958195 is a `hidden beast` number, since 22 + 49 + 581 + 9 + 5 = 666.

It is not a de Polignac number, because 224958195 - 2⁶ = 224958131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (259200) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 224958195.

It is not an unprimeable number, because it can be changed into a prime (224958197) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3357552 + ... + 3357618.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^224958195 is an apocalyptic number.

224958195 is an abundant number, since it is smaller than the sum of its proper divisors (339061005).

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

224958195 is a wasteful number, since it uses less digits than its factorization.

224958195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 224958195 is about 14998.6064352659. The cubic root of 224958195 is about 608.1825281198.

The spelling of 224958195 in words is "two hundred twenty-four million, nine hundred fifty-eight thousand, one hundred ninety-five".