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2200222112 = 251129673217
BaseRepresentation
bin1000001100100100…
…1011100110100000
312200100002212022212
42003021023212200
514001224101422
61002154221252
7105344402504
oct20311134640
95610085285
102200222112
11a29a71490
12514a24828
13290aab79a
1416c2d8304
15cd2629e2
hex8324b9a0

2200222112 has 96 divisors (see below), whose sum is σ = 4962928320. Its totient is φ = 950906880.

The previous prime is 2200222109. The next prime is 2200222147. The reversal of 2200222112 is 2112220022.

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, 682328 + ... + 685544.

It is an arithmetic number, because the mean of its divisors is an integer number (51697170).

Almost surely, 22200222112 is an apocalyptic number.

2200222112 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 2200222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481464160).

2200222112 is an abundant number, since it is smaller than the sum of its proper divisors (2762706208).

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

2200222112 is a wasteful number, since it uses less digits than its factorization.

2200222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3326 counting only the distinct ones).

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

The square root of 2200222112 is about 46906.5252603516. The cubic root of 2200222112 is about 1300.6352146160.

Adding to 2200222112 its reverse (2112220022), we get a palindrome (4312442134).

It can be divided in two parts, 220022 and 2112, that multiplied together give a palindrome (464686464).

The spelling of 2200222112 in words is "two billion, two hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 67 88 116 134 176 232 268 319 352 464 536 638 737 928 1072 1276 1474 1943 2144 2552 2948 3217 3886 5104 5896 6434 7772 10208 11792 12868 15544 21373 23584 25736 31088 35387 42746 51472 62176 70774 85492 93293 102944 141548 170984 186586 215539 283096 341968 373172 431078 566192 683936 746344 862156 1026223 1132384 1492688 1724312 2052446 2370929 2985376 3448624 4104892 4741858 6250631 6897248 8209784 9483716 12501262 16419568 18967432 25002524 32839136 37934864 50005048 68756941 75869728 100010096 137513882 200020192 275027764 550055528 1100111056 2200222112