224145312 has 48 divisors (see below), whose sum is σ = 593907552. Its totient is φ = 74013440.

The previous prime is 224145269. The next prime is 224145349. The reversal of 224145312 is 213541422.

224145312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×224145312² = 100482241783154688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 639 + ... + 21182.

It is an arithmetic number, because the mean of its divisors is an integer number (12373074).

Almost surely, 2^224145312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296953776).

224145312 is an abundant number, since it is smaller than the sum of its proper divisors (369762240).

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

224145312 is a wasteful number, since it uses less digits than its factorization.

224145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21941 (or 21933 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 224145312 is about 14971.4832932479. The cubic root of 224145312 is about 607.4490912309.

Adding to 224145312 its reverse (213541422), we get a palindrome (437686734).

The spelling of 224145312 in words is "two hundred twenty-four million, one hundred forty-five thousand, three hundred twelve".