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212230304322000 = 2435387740332631
BaseRepresentation
bin110000010000010110110111…
…111001100101000111010000
31000211110000111210220220112120
4300100112313321211013100
5210304140130401301000
62031213131132254240
762463063533633166
oct6020266771450720
91024400453826476
10212230304322000
1161694403a58a68
121b9777a3611380
139156302414ac3
143a5a004309236
1519808e5b226a0
hexc105b7e651d0

212230304322000 has 160 divisors (see below), whose sum is σ = 685010712532224. Its totient is φ = 56530214208000.

The previous prime is 212230304321989. The next prime is 212230304322059. The reversal of 212230304322000 is 223403032212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14904316 + ... + 25428315.

Almost surely, 2212230304322000 is an apocalyptic number.

212230304322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212230304322000 is an abundant number, since it is smaller than the sum of its proper divisors (472780408210224).

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

212230304322000 is a wasteful number, since it uses less digits than its factorization.

212230304322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40333534 (or 40333518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 212230304322000 its reverse (223403032212), we get a palindrome (212453707354212).

The spelling of 212230304322000 in words is "two hundred twelve trillion, two hundred thirty billion, three hundred four million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 877 1000 1200 1500 1754 2000 2631 3000 3508 4385 5262 6000 7016 8770 10524 13155 14032 17540 21048 21925 26310 35080 42096 43850 52620 65775 70160 87700 105240 109625 131550 175400 210480 219250 263100 328875 350800 438500 526200 657750 877000 1052400 1315500 1754000 2631000 5262000 40332631 80665262 120997893 161330524 201663155 241995786 322661048 403326310 483991572 604989465 645322096 806652620 967983144 1008315775 1209978930 1613305240 1935966288 2016631550 2419957860 3024947325 3226610480 4033263100 4839915720 5041578875 6049894650 8066526200 9679831440 10083157750 12099789300 15124736625 16133052400 20166315500 24199578600 30249473250 35371717387 40332631000 48399157200 60498946500 70743434774 80665262000 106115152161 120997893000 141486869548 176858586935 212230304322 241995786000 282973739096 353717173870 424460608644 530575760805 565947478192 707434347740 848921217288 884292934675 1061151521610 1414868695480 1697842434576 1768585869350 2122303043220 2652878804025 2829737390960 3537171738700 4244606086440 4421464673375 5305757608050 7074343477400 8489212172880 8842929346750 10611515216100 13264394020125 14148686954800 17685858693500 21223030432200 26528788040250 35371717387000 42446060864400 53057576080500 70743434774000 106115152161000 212230304322000