224010144 has 48 divisors (see below), whose sum is σ = 653365440. Its totient is φ = 74669760.

The previous prime is 224010119. The next prime is 224010169. The reversal of 224010144 is 441010422.

224010144 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 (224010119) and next prime (224010169).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×224010144² = 100361089229801472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128772 + ... + 130499.

It is an arithmetic number, because the mean of its divisors is an integer number (13611780).

Almost surely, 2^224010144 is an apocalyptic number.

224010144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224010144 is an abundant number, since it is smaller than the sum of its proper divisors (429355296).

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

224010144 is a wasteful number, since it uses less digits than its factorization.

224010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259290 (or 259276 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224010144 is about 14966.9684305139. The cubic root of 224010144 is about 607.3269618435.

Adding to 224010144 its reverse (441010422), we get a palindrome (665020566).

The spelling of 224010144 in words is "two hundred twenty-four million, ten thousand, one hundred forty-four".