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212222232320 = 285726390059
BaseRepresentation
bin1100010110100101101…
…1100100011100000000
3202021210010120102021112
43011221123210130000
511434112342413240
6241254334542452
721222031132250
oct3055133443400
9667703512245
10212222232320
1182003a1024a
1235168967a28
13170215234c7
14a3b342b960
1557c1491665
hex31696e4700

212222232320 has 144 divisors (see below), whose sum is σ = 583173803520. Its totient is φ = 72484442112.

The previous prime is 212222232307. The next prime is 212222232373. The reversal of 212222232320 is 23232222212.

212222232320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311451 + ... + 2401509.

It is an arithmetic number, because the mean of its divisors is an integer number (4049818080).

Almost surely, 2212222232320 is an apocalyptic number.

212222232320 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 212222232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291586901760).

212222232320 is an abundant number, since it is smaller than the sum of its proper divisors (370951571200).

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

212222232320 is an equidigital number, since it uses as much as digits as its factorization.

212222232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90350 (or 90336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 212222232320 its reverse (23232222212), we get a palindrome (235454454532).

The spelling of 212222232320 in words is "two hundred twelve billion, two hundred twenty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 263 280 320 448 526 560 640 896 1052 1120 1280 1315 1792 1841 2104 2240 2630 3682 4208 4480 5260 7364 8416 8960 9205 10520 14728 16832 18410 21040 29456 33664 36820 42080 58912 67328 73640 84160 90059 117824 147280 168320 180118 235648 294560 336640 360236 450295 471296 589120 630413 720472 900590 1178240 1260826 1440944 1801180 2356480 2521652 2881888 3152065 3602360 5043304 5763776 6304130 7204720 10086608 11527552 12608260 14409440 20173216 23055104 23685517 25216520 28818880 40346432 47371034 50433040 57637760 80692864 94742068 100866080 115275520 118427585 161385728 165798619 189484136 201732160 236855170 331597238 378968272 403464320 473710340 663194476 757936544 806928640 828993095 947420680 1326388952 1515873088 1657986190 1894841360 2652777904 3031746176 3315972380 3789682720 5305555808 6063492352 6631944760 7579365440 10611111616 13263889520 15158730880 21222223232 26527779040 30317461760 42444446464 53055558080 106111116160 212222232320