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110020224 = 2732312457
BaseRepresentation
bin1101000111011…
…00011010000000
321200000121101010
412203230122000
5211131121344
614530040520
72504104446
oct643543200
9250017333
10110020224
1157115906
1230a19140
1319a41632
141087cb96
1599d38b9
hex68ec680

110020224 has 64 divisors (see below), whose sum is σ = 304971840. Its totient is φ = 35076096.

The previous prime is 110020223. The next prime is 110020237. The reversal of 110020224 is 422020011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110020223) 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 7 ways as a sum of consecutive naturals, for example, 2604 + ... + 15060.

It is an arithmetic number, because the mean of its divisors is an integer number (4765185).

Almost surely, 2110020224 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 110020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152485920).

110020224 is an abundant number, since it is smaller than the sum of its proper divisors (194951616).

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

110020224 is a wasteful number, since it uses less digits than its factorization.

110020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 110020224 is about 10489.0525787604. The cubic root of 110020224 is about 479.1713480509.

Adding to 110020224 its reverse (422020011), we get a palindrome (532040235).

The spelling of 110020224 in words is "one hundred ten million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 12457 24914 37371 49828 74742 99656 149484 199312 286511 298968 398624 573022 597936 797248 859533 1146044 1195872 1594496 1719066 2292088 2391744 3438132 4584176 4783488 6876264 9168352 13752528 18336704 27505056 36673408 55010112 110020224