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2220002120 = 235717676961
BaseRepresentation
bin1000010001010010…
…1000101101001000
312201201022210101202
42010110220231020
514021310031440
61004142203332
7106004464250
oct20424505510
95651283352
102220002120
11a3a1514a6
1251b583548
13294c15a2b
14170ba6960
15ced6d615
hex84528b48

2220002120 has 128 divisors (see below), whose sum is σ = 6135471360. Its totient is φ = 705576960.

The previous prime is 2220002117. The next prime is 2220002129. The reversal of 2220002120 is 212000222.

It is not an unprimeable number, because it can be changed into a prime (2220002129) 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 31 ways as a sum of consecutive naturals, for example, 315440 + ... + 322400.

It is an arithmetic number, because the mean of its divisors is an integer number (47933370).

Almost surely, 22220002120 is an apocalyptic number.

2220002120 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 2220002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067735680).

2220002120 is an abundant number, since it is smaller than the sum of its proper divisors (3915469240).

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

2220002120 is a wasteful number, since it uses less digits than its factorization.

2220002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2220002120 is about 47116.8984548007. The cubic root of 2220002120 is about 1304.5211652732.

Adding to 2220002120 its reverse (212000222), we get a palindrome (2432002342).

The spelling of 2220002120 in words is "two billion, two hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 67 68 70 85 119 134 136 140 170 238 268 280 335 340 469 476 536 595 670 680 938 952 1139 1190 1340 1876 2278 2345 2380 2680 3752 4556 4690 4760 5695 6961 7973 9112 9380 11390 13922 15946 18760 22780 27844 31892 34805 39865 45560 48727 55688 63784 69610 79730 97454 118337 139220 159460 194908 236674 243635 278440 318920 389816 466387 473348 487270 591685 828359 932774 946696 974540 1183370 1656718 1865548 1949080 2331935 2366740 3264709 3313436 3731096 4141795 4663870 4733480 6529418 6626872 7928579 8283590 9327740 13058836 15857158 16323545 16567180 18655480 26117672 31714316 32647090 33134360 39642895 55500053 63428632 65294180 79285790 111000106 130588360 158571580 222000212 277500265 317143160 444000424 555000530 1110001060 2220002120