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2312220222 = 2331323712017
BaseRepresentation
bin1000100111010001…
…1010111000111110
312222010211221212000
42021310122320332
514213412021342
61021234523130
7111204355554
oct21164327076
95863757760
102312220222
11a87208304
125464364a6
132ab063460
1417d12dbd4
15d7ed744c
hex89d1ae3e

2312220222 has 128 divisors (see below), whose sum is σ = 5858334720. Its totient is φ = 670602240.

The previous prime is 2312220217. The next prime is 2312220223. The reversal of 2312220222 is 2220222132.

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

It is a junction number, because it is equal to n+sod(n) for n = 2312220195 and 2312220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145358 + ... + 1147374.

It is an arithmetic number, because the mean of its divisors is an integer number (45768240).

Almost surely, 22312220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929167360).

2312220222 is an abundant number, since it is smaller than the sum of its proper divisors (3546114498).

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

2312220222 is a wasteful number, since it uses less digits than its factorization.

2312220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2312220222 is about 48085.5510730614. The cubic root of 2312220222 is about 1322.3397860765.

Adding to 2312220222 its reverse (2220222132), we get a palindrome (4532442354).

The spelling of 2312220222 in words is "two billion, three hundred twelve million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 71 78 117 138 142 207 213 234 299 351 414 426 598 621 639 702 897 923 1242 1278 1633 1794 1846 1917 2017 2691 2769 3266 3834 4034 4899 5382 5538 6051 8073 8307 9798 12102 14697 16146 16614 18153 21229 24921 26221 29394 36306 42458 44091 46391 49842 52442 54459 63687 78663 88182 92782 108918 127374 139173 143207 157326 191061 235989 278346 286414 382122 417519 429621 471978 573183 603083 707967 835038 859242 1146366 1206166 1252557 1288863 1415934 1809249 1861691 2505114 2577726 3293761 3618498 3723382 3866589 5427747 5585073 6587522 7733178 9881283 10855494 11170146 16283241 16755219 19762566 29643849 32566482 33510438 42818893 50265657 59287698 85637786 88931547 100531314 128456679 177863094 256913358 385370037 770740074 1156110111 2312220222