224145000 has 240 divisors, whose sum is σ = 805945140. Its totient is φ = 56064000.

The previous prime is 224144993. The next prime is 224145007. The reversal of 224145000 is 541422.

224145000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224144993) and next prime (224145007).

It can be written as a sum of positive squares in 10 ways, for example, as 4334724 + 219810276 = 2082^2 + 14826^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224145007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 764854 + ... + 765146.

Almost surely, 2^224145000 is an apocalyptic number.

224145000 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 224145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402972570).

224145000 is an abundant number, since it is smaller than the sum of its proper divisors (581800140).

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

224145000 is a wasteful number, since it uses less digits than its factorization.

224145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 224145000 is about 14971.4728734350. The cubic root of 224145000 is about 607.4488093837.

Adding to 224145000 its reverse (541422), we get a palindrome (224686422).

The spelling of 224145000 in words is "two hundred twenty-four million, one hundred forty-five thousand".