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220010112 = 2732727283
BaseRepresentation
bin11010001110100…
…01011010000000
3120022222200010200
431013101122000
5422310310422
633455325200
75311024620
oct1507213200
9508880120
10220010112
1110320a943
1261820800
13367721ca
1421310880
15144ad2ac
hexd1d1680

220010112 has 96 divisors (see below), whose sum is σ = 723571680. Its totient is φ = 62857728.

The previous prime is 220010099. The next prime is 220010117. The reversal of 220010112 is 211010022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220010094 and 220010103.

It is not an unprimeable number, because it can be changed into a prime (220010117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5578 + ... + 21705.

It is an arithmetic number, because the mean of its divisors is an integer number (7537205).

Almost surely, 2220010112 is an apocalyptic number.

It is an amenable number.

220010112 is an abundant number, since it is smaller than the sum of its proper divisors (503561568).

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

220010112 is a wasteful number, since it uses less digits than its factorization.

220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27310 (or 27295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 220010112 is about 14832.7378457249. The cubic root of 220010112 is about 603.6903226638.

Adding to 220010112 its reverse (211010022), we get a palindrome (431020134).

The spelling of 220010112 in words is "two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 27283 54566 81849 109132 163698 190981 218264 245547 327396 381962 436528 491094 572943 654792 763924 873056 982188 1145886 1309584 1527848 1718829 1746112 1964376 2291772 2619168 3055696 3437658 3492224 3928752 4583544 5238336 6111392 6875316 7857504 9167088 10476672 12222784 13750632 15715008 18334176 24445568 27501264 31430016 36668352 55002528 73336704 110005056 220010112