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224120112 = 24317457601
BaseRepresentation
bin11010101101111…
…00110100110000
3120121201110222220
431112330310300
5424333320422
634123401040
75360663256
oct1526746460
9517643886
10224120112
11105567837
1263083180
1337580b68
1421aa05d6
1514a20e5c
hexd5bcd30

224120112 has 80 divisors (see below), whose sum is σ = 615398112. Its totient is φ = 70041600.

The previous prime is 224120087. The next prime is 224120123. The reversal of 224120112 is 211021422.

It is a junction number, because it is equal to n+sod(n) for n = 224120091 and 224120100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372612 + ... + 373212.

Almost surely, 2224120112 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 224120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307699056).

224120112 is an abundant number, since it is smaller than the sum of its proper divisors (391278000).

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

224120112 is a wasteful number, since it uses less digits than its factorization.

224120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 224120112 is about 14970.6416696146. The cubic root of 224120112 is about 607.4263258045.

Adding to 224120112 its reverse (211021422), we get a palindrome (435141534).

The spelling of 224120112 in words is "two hundred twenty-four million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 457 601 816 914 1202 1371 1803 1828 2404 2742 3606 3656 4808 5484 7212 7312 7769 9616 10217 10968 14424 15538 20434 21936 23307 28848 30651 31076 40868 46614 61302 62152 81736 93228 122604 124304 163472 186456 245208 274657 372912 490416 549314 823971 1098628 1647942 2197256 3295884 4394512 4669169 6591768 9338338 13183536 14007507 18676676 28015014 37353352 56030028 74706704 112060056 224120112