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2204311120 = 2451117147347
BaseRepresentation
bin1000001101100011…
…0001111001010000
312200121210121101121
42003120301321100
514003300423440
61002422012024
7105424223014
oct20330617120
95617717347
102204311120
11a31304630
12516277014
132918b0a0b
1416ca80544
15cd7be34a
hex83631e50

2204311120 has 80 divisors (see below), whose sum is σ = 5919853248. Its totient is φ = 754411520.

The previous prime is 2204311091. The next prime is 2204311127. The reversal of 2204311120 is 211134022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2204311094 and 2204311103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204311127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58714 + ... + 88633.

Almost surely, 22204311120 is an apocalyptic number.

2204311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204311120 is an abundant number, since it is smaller than the sum of its proper divisors (3715542128).

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

2204311120 is a wasteful number, since it uses less digits than its factorization.

2204311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147388 (or 147382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2204311120 is about 46950.0917996973. The cubic root of 2204311120 is about 1301.4404388641.

Adding to 2204311120 its reverse (211134022), we get a palindrome (2415445142).

The spelling of 2204311120 in words is "two billion, two hundred four million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 147347 294694 589388 736735 1178776 1473470 1620817 2357552 2504899 2946940 3241634 5009798 5893880 6483268 8104085 10019596 11787760 12524495 12966536 16208170 20039192 25048990 25933072 27553889 32416340 40078384 50097980 55107778 64832680 100195960 110215556 129665360 137769445 200391920 220431112 275538890 440862224 551077780 1102155560 2204311120