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110220048 = 24332311093
BaseRepresentation
bin1101001000111…
…01001100010000
321200101202111000
412210131030100
5211204020143
614534222000
72505566151
oct644351420
9250352430
10110220048
1157241a54
1230ab4900
1319ab1583
14108d1928
159a22bd3
hex691d310

110220048 has 80 divisors (see below), whose sum is σ = 330157440. Its totient is φ = 35139456.

The previous prime is 110220031. The next prime is 110220073. The reversal of 110220048 is 840022011.

It is a super-2 number, since 2×1102200482 = 24296917962244608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 110220048.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4390 + ... + 15482.

It is an arithmetic number, because the mean of its divisors is an integer number (4126968).

Almost surely, 2110220048 is an apocalyptic number.

110220048 is a gapful number since it is divisible by the number (18) 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 110220048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165078720).

110220048 is an abundant number, since it is smaller than the sum of its proper divisors (219937392).

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

110220048 is a wasteful number, since it uses less digits than its factorization.

110220048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 110220048 is about 10498.5736174016. The cubic root of 110220048 is about 479.4612705817.

Adding to 110220048 its reverse (840022011), we get a palindrome (950242059).

The spelling of 110220048 in words is "one hundred ten million, two hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 11093 22186 33279 44372 66558 88744 99837 133116 177488 199674 255139 266232 299511 399348 510278 532464 599022 765417 798696 1020556 1198044 1530834 1597392 2041112 2296251 2396088 3061668 4082224 4592502 4792176 6123336 6888753 9185004 12246672 13777506 18370008 27555012 36740016 55110024 110220048