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224114112 = 2632607641
BaseRepresentation
bin11010101101110…
…11010111000000
3120121201011202200
431112323113000
5424333122422
634123313200
75360636625
oct1526732700
9517634680
10224114112
11105563282
126307b800
133757b201
1421a9c34c
1514a1e2ac
hexd5bb5c0

224114112 has 84 divisors (see below), whose sum is σ = 644444736. Its totient is φ = 74465280.

The previous prime is 224114087. The next prime is 224114113. The reversal of 224114112 is 211411422.

224114112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224114113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349312 + ... + 349952.

Almost surely, 2224114112 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 224114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322222368).

224114112 is an abundant number, since it is smaller than the sum of its proper divisors (420330624).

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

224114112 is a wasteful number, since it uses less digits than its factorization.

224114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1253 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 224114112 is about 14970.4412760613. The cubic root of 224114112 is about 607.4209052134.

Adding to 224114112 its reverse (211411422), we get a palindrome (435525534).

The spelling of 224114112 in words is "two hundred twenty-four million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 607 641 1214 1282 1821 1923 2428 2564 3642 3846 4856 5128 5463 5769 7284 7692 9712 10256 10926 11538 14568 15384 19424 20512 21852 23076 29136 30768 38848 41024 43704 46152 58272 61536 87408 92304 116544 123072 174816 184608 349632 369216 389087 778174 1167261 1556348 2334522 3112696 3501783 4669044 6225392 7003566 9338088 12450784 14007132 18676176 24901568 28014264 37352352 56028528 74704704 112057056 224114112