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211232232344 = 237177113722811
BaseRepresentation
bin1100010010111001101…
…1000001001110011000
3202012020010201012121202
43010232123001032120
511430100422413334
6241012211453332
721155350231040
oct3045633011630
9665203635552
10211232232344
11816460a7651
1234b312b7248
1316bc43a7bc3
14a31bb64720
1557645d817e
hex312e6c1398

211232232344 has 128 divisors (see below), whose sum is σ = 489585669120. Its totient is φ = 83386060800.

The previous prime is 211232232319. The next prime is 211232232353. The reversal of 211232232344 is 443232232112.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9248699 + ... + 9271509.

It is an arithmetic number, because the mean of its divisors is an integer number (3824888040).

Almost surely, 2211232232344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211232232344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244792834560).

211232232344 is an abundant number, since it is smaller than the sum of its proper divisors (278353436776).

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

211232232344 is a wasteful number, since it uses less digits than its factorization.

211232232344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23049 (or 23045 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

Adding to 211232232344 its reverse (443232232112), we get a palindrome (654464464456).

The spelling of 211232232344 in words is "two hundred eleven billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 71 119 136 137 142 238 274 284 476 497 548 568 952 959 994 1096 1207 1918 1988 2329 2414 3836 3976 4658 4828 7672 8449 9316 9656 9727 16303 16898 18632 19454 22811 32606 33796 38908 45622 65212 67592 68089 77816 91244 130424 136178 159677 165359 182488 272356 319354 330718 387787 544712 638708 661436 775574 1157513 1277416 1322872 1551148 1619581 2315026 2714509 3102296 3125107 3239162 4630052 5429018 6250214 6478324 9260104 10858036 11337067 12500428 12956648 21716072 21875749 22674134 25000856 27532877 43751498 45348268 53126819 55065754 87502996 90696536 106253638 110131508 175005992 192730139 212507276 220263016 221882597 371887733 385460278 425014552 443765194 743775466 770920556 887530388 1487550932 1541841112 1553178179 1775060776 2975101864 3106356358 3772004149 6212712716 7544008298 12425425432 15088016596 26404029043 30176033192 52808058086 105616116172 211232232344