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2222131120 = 24511341509
BaseRepresentation
bin1000010001110011…
…0000011110110000
312201212022221211121
42010130300132300
514022331143440
61004255552024
7106031542246
oct20434603660
95655287747
102222131120
11a40376000
1252022b614
132954acab1
1417119c796
15d013e34a
hex847307b0

2222131120 has 160 divisors (see below), whose sum is σ = 5832751680. Its totient is φ = 786790400.

The previous prime is 2222131103. The next prime is 2222131151. The reversal of 2222131120 is 211312222.

It is a happy number.

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 = 2222131094 and 2222131103.

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 31 ways as a sum of consecutive naturals, for example, 4365426 + ... + 4365934.

It is an arithmetic number, because the mean of its divisors is an integer number (36454698).

Almost surely, 22222131120 is an apocalyptic number.

2222131120 is a gapful number since it is divisible by the number (20) 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 2222131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916375840).

2222131120 is an abundant number, since it is smaller than the sum of its proper divisors (3610620560).

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

2222131120 is a wasteful number, since it uses less digits than its factorization.

2222131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 568 counting only the distinct ones).

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

The square root of 2222131120 is about 47139.4857842128. The cubic root of 2222131120 is about 1304.9380474888.

Adding to 2222131120 its reverse (211312222), we get a palindrome (2433443342).

The spelling of 2222131120 in words is "two billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 121 164 176 205 220 242 328 410 440 451 484 509 605 656 820 880 902 968 1018 1210 1331 1640 1804 1936 2036 2255 2420 2545 2662 3280 3608 4072 4510 4840 4961 5090 5324 5599 6655 7216 8144 9020 9680 9922 10180 10648 11198 13310 18040 19844 20360 20869 21296 22396 24805 26620 27995 36080 39688 40720 41738 44792 49610 53240 54571 55990 61589 79376 83476 89584 99220 104345 106480 109142 111980 123178 166952 198440 208690 218284 223960 229559 246356 272855 307945 333904 396880 417380 436568 447920 459118 492712 545710 615890 677479 834760 873136 918236 985424 1091420 1147795 1231780 1354958 1669520 1836472 2182840 2295590 2463560 2525149 2709916 3387395 3672944 4365680 4591180 4927120 5050298 5419832 6774790 9182360 10100596 10839664 12625745 13549580 18364720 20201192 25251490 27099160 27776639 40402384 50502980 54198320 55553278 101005960 111106556 138883195 202011920 222213112 277766390 444426224 555532780 1111065560 2222131120