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1112223060 = 22325134211129
BaseRepresentation
bin100001001001011…
…0010110101010100
32212111211210012200
41002102302311110
54234212114220
6302210444500
736363511554
oct10222626524
92774753180
101112223060
11520903713
12270593730
13149570370
14a7a01164
156799c890
hex424b2d54

1112223060 has 144 divisors (see below), whose sum is σ = 3645117840. Its totient is φ = 272885760.

The previous prime is 1112223059. The next prime is 1112223103. The reversal of 1112223060 is 603222111.

It can be written as a sum of positive squares in 8 ways, for example, as 649026576 + 463196484 = 25476^2 + 21522^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984576 + ... + 985704.

Almost surely, 21112223060 is an apocalyptic number.

1112223060 is a gapful number since it is divisible by the number (10) 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 1112223060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822558920).

1112223060 is an abundant number, since it is smaller than the sum of its proper divisors (2532894780).

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

1112223060 is a wasteful number, since it uses less digits than its factorization.

1112223060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1112223060 is about 33350.0083958010. The cubic root of 1112223060 is about 1036.0895618323.

Adding to 1112223060 its reverse (603222111), we get a palindrome (1715445171).

The spelling of 1112223060 in words is "one billion, one hundred twelve million, two hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 421 468 585 780 842 1129 1170 1263 1684 2105 2258 2340 2526 3387 3789 4210 4516 5052 5473 5645 6315 6774 7578 8420 10161 10946 11290 12630 13548 14677 15156 16419 16935 18945 20322 21892 22580 25260 27365 29354 32838 33870 37890 40644 44031 49257 50805 54730 58708 65676 67740 73385 75780 82095 88062 98514 101610 109460 132093 146770 164190 176124 197028 203220 220155 246285 264186 293540 328380 440310 475309 492570 528372 660465 880620 950618 985140 1320930 1425927 1901236 2376545 2641860 2851854 4277781 4753090 5703708 6179017 7129635 8555562 9506180 12358034 14259270 17111124 18537051 21388905 24716068 28518540 30895085 37074102 42777810 55611153 61790170 74148204 85555620 92685255 111222306 123580340 185370510 222444612 278055765 370741020 556111530 1112223060