224414190 has 384 divisors, whose sum is σ = 815173632. Its totient is φ = 41333760.

The previous prime is 224414167. The next prime is 224414221. The reversal of 224414190 is 91414422.

It is a happy number.

224414190 is a `hidden beast` number, since 2 + 244 + 1 + 419 + 0 = 666.

224414190 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224414190² = 100723457346712200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4234204 + ... + 4234256.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2^224414190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224414190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407586816).

224414190 is an abundant number, since it is smaller than the sum of its proper divisors (590759442).

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

224414190 is a wasteful number, since it uses less digits than its factorization.

224414190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 224414190 is about 14980.4602733027. The cubic root of 224414190 is about 607.6918867494.

It can be divided in two parts, 224 and 414190, that added together give a palindrome (414414).

The spelling of 224414190 in words is "two hundred twenty-four million, four hundred fourteen thousand, one hundred ninety".