224214120 has 192 divisors, whose sum is σ = 819262080. Its totient is φ = 52766208.

The previous prime is 224214119. The next prime is 224214121. The reversal of 224214120 is 21412422.

It is an interprime number because it is at equal distance from previous prime (224214119) and next prime (224214121).

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

It is a junction number, because it is equal to n+sod(n) for n = 224214093 and 224214102.

It is not an unprimeable number, because it can be changed into a prime (224214121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106599 + ... + 108681.

It is an arithmetic number, because the mean of its divisors is an integer number (4266990).

Almost surely, 2^224214120 is an apocalyptic number.

224214120 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 224214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409631040).

224214120 is an abundant number, since it is smaller than the sum of its proper divisors (595047960).

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

224214120 is a wasteful number, since it uses less digits than its factorization.

224214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2129 counting only the distinct ones).

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

The square root of 224214120 is about 14973.7810856176. The cubic root of 224214120 is about 607.5112429967.

Adding to 224214120 its reverse (21412422), we get a palindrome (245626542).

The spelling of 224214120 in words is "two hundred twenty-four million, two hundred fourteen thousand, one hundred twenty".