224550144 has 540 divisors, whose sum is σ = 888140484. Its totient is φ = 55738368.

The previous prime is 224550119. The next prime is 224550163. The reversal of 224550144 is 441055422.

It can be written as a sum of positive squares in 2 ways, for example, as 101606400 + 122943744 = 10080^2 + 11088^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13208824 + ... + 13208840.

Almost surely, 2^224550144 is an apocalyptic number.

224550144 is a gapful number since it is divisible by the number (24) 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 224550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444070242).

224550144 is an abundant number, since it is smaller than the sum of its proper divisors (663590340).

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

224550144 is a wasteful number, since it uses less digits than its factorization.

224550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 224550144 is about 14984.9972972971. The cubic root of 224550144 is about 607.8145787304.

The spelling of 224550144 in words is "two hundred twenty-four million, five hundred fifty thousand, one hundred forty-four".