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220024112 = 24721131823
BaseRepresentation
bin11010001110101…
…00110100110000
3120100000101100012
431013110310300
5422311232422
633455514052
75311113500
oct1507246460
9510011305
10220024112
1110321a410
1261828928
13367786a9
1421315a00
15144b24e2
hexd1d4d30

220024112 has 120 divisors (see below), whose sum is σ = 559107072. Its totient is φ = 82857600.

The previous prime is 220024111. The next prime is 220024139. The reversal of 220024112 is 211420022.

It is a super-2 number, since 2×2200241122 = 96821219722777088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (220024111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266933 + ... + 267755.

Almost surely, 2220024112 is an apocalyptic number.

220024112 is a gapful number since it is divisible by the number (22) 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 220024112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279553536).

220024112 is an abundant number, since it is smaller than the sum of its proper divisors (339082960).

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

220024112 is a wasteful number, since it uses less digits than its factorization.

220024112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 220024112 is about 14833.2097672756. The cubic root of 220024112 is about 603.7031273560.

Adding to 220024112 its reverse (211420022), we get a palindrome (431444134).

The spelling of 220024112 in words is "two hundred twenty million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 49 56 62 77 88 98 112 124 154 176 196 217 248 308 341 392 434 496 539 616 682 784 823 868 1078 1232 1364 1519 1646 1736 2156 2387 2728 3038 3292 3472 4312 4774 5456 5761 6076 6584 8624 9053 9548 11522 12152 13168 16709 18106 19096 23044 24304 25513 33418 36212 38192 40327 46088 51026 63371 66836 72424 80654 92176 102052 126742 133672 144848 161308 178591 204104 253484 267344 280643 322616 357182 408208 443597 506968 561286 645232 714364 887194 1013936 1122572 1250137 1428728 1774388 1964501 2245144 2500274 2857456 3548776 3929002 4490288 5000548 7097552 7858004 10001096 13751507 15716008 20002192 27503014 31432016 55006028 110012056 220024112