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112282221228 = 22329539296553
BaseRepresentation
bin110100010010010001…
…0101011101010101100
3101201211010210211100020
41220210202223222230
53314423222034403
6123325353402140
711053313063442
oct1504442535254
9351733724306
10112282221228
1143689428761
1219917109350
13a785288978
145612344b92
152dc2656453
hex1a248abaac

112282221228 has 96 divisors (see below), whose sum is σ = 276479179200. Its totient is φ = 35411410944.

The previous prime is 112282221173. The next prime is 112282221239. The reversal of 112282221228 is 822122282211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17131200 + ... + 17137752.

It is an arithmetic number, because the mean of its divisors is an integer number (2879991450).

Almost surely, 2112282221228 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 112282221228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138239589600).

112282221228 is an abundant number, since it is smaller than the sum of its proper divisors (164196957972).

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

112282221228 is a wasteful number, since it uses less digits than its factorization.

112282221228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571 (or 7569 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The spelling of 112282221228 in words is "one hundred twelve billion, two hundred eighty-two million, two hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 929 1537 1858 2787 3074 3716 4611 5574 6148 6553 9222 11148 13106 18444 19659 26212 26941 39318 49237 53882 78636 80823 98474 107764 147711 161646 190037 196948 295422 323292 347309 380074 570111 590844 694618 760148 1041927 1140222 1389236 1427873 2083854 2280444 2855746 4167708 4283619 5711492 6087737 8567238 10071961 12175474 17134476 18263211 20143922 24350948 30215883 36526422 40287844 60431766 73052844 120863532 176544373 322650061 353088746 529633119 645300122 706177492 967950183 1059266238 1290600244 1935900366 2118532476 3871800732 9356851769 18713703538 28070555307 37427407076 56141110614 112282221228