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2122032220 = 22572111011949
BaseRepresentation
bin111111001111011…
…1010010001011100
312110212222101221221
41332132322101130
513321220012340
6550322303124
7103404655600
oct17636722134
95425871857
102122032220
11999917240
124b27b7aa4
1327a833289
14161b83500
15c646a44a
hex7e7ba45c

2122032220 has 144 divisors (see below), whose sum is σ = 5713999200. Its totient is φ = 654528000.

The previous prime is 2122032217. The next prime is 2122032257. The reversal of 2122032220 is 222302212.

It is a junction number, because it is equal to n+sod(n) for n = 2122032194 and 2122032203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087806 + ... + 1089754.

It is an arithmetic number, because the mean of its divisors is an integer number (39680550).

Almost surely, 22122032220 is an apocalyptic number.

2122032220 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 2122032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856999600).

2122032220 is an abundant number, since it is smaller than the sum of its proper divisors (3591966980).

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

2122032220 is a wasteful number, since it uses less digits than its factorization.

2122032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2122032220 is about 46065.5209457138. The cubic root of 2122032220 is about 1285.0420068328.

Adding to 2122032220 its reverse (222302212), we get a palindrome (2344334432).

The spelling of 2122032220 in words is "two billion, one hundred twenty-two million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 101 110 140 154 196 202 220 245 308 385 404 490 505 539 707 770 980 1010 1078 1111 1414 1540 1949 2020 2156 2222 2695 2828 3535 3898 4444 4949 5390 5555 7070 7777 7796 9745 9898 10780 11110 13643 14140 15554 19490 19796 21439 22220 24745 27286 31108 38885 38980 42878 49490 54439 54572 68215 77770 85756 95501 98980 107195 108878 136430 150073 155540 191002 196849 214390 217756 272195 272860 300146 382004 393698 428780 477505 544390 600292 750365 787396 955010 984245 1050511 1088780 1377943 1500730 1910020 1968490 2101022 2165339 2755886 3001460 3936980 4202044 4330678 5252555 5511772 6889715 8661356 9645601 10505110 10826695 13779430 15157373 19291202 21010220 21653390 27558860 30314746 38582404 43306780 48228005 60629492 75786865 96456010 106101611 151573730 192912020 212203222 303147460 424406444 530508055 1061016110 2122032220