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2214343234000 = 245310347922441
BaseRepresentation
bin100000001110010001001…
…001000101000111010000
321211200121101110022120101
4200032101021011013100
5242234433331442000
64413131044222144
7315660326634562
oct40162111050720
97750541408511
102214343234000
11784109033a87
122b91a309a954
13130a72319a51
1479263873332
153c900783e6a
hex203912451d0

2214343234000 has 160 divisors (see below), whose sum is σ = 5417793239040. Its totient is φ = 875267712000.

The previous prime is 2214343233937. The next prime is 2214343234013. The reversal of 2214343234000 is 4323434122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214343234000.

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, 98662780 + ... + 98685220.

It is an arithmetic number, because the mean of its divisors is an integer number (33861207744).

Almost surely, 22214343234000 is an apocalyptic number.

2214343234000 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 2214343234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708896619520).

2214343234000 is an abundant number, since it is smaller than the sum of its proper divisors (3203450005040).

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

2214343234000 is a wasteful number, since it uses less digits than its factorization.

2214343234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23046 (or 23030 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2214343234000 its reverse (4323434122), we get a palindrome (2218666668122).

The spelling of 2214343234000 in words is "two trillion, two hundred fourteen billion, three hundred forty-three million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 200 206 250 400 412 479 500 515 824 958 1000 1030 1648 1916 2000 2060 2395 2575 3832 4120 4790 5150 7664 8240 9580 10300 11975 12875 19160 20600 22441 23950 25750 38320 41200 44882 47900 49337 51500 59875 89764 95800 98674 103000 112205 119750 179528 191600 197348 206000 224410 239500 246685 359056 394696 448820 479000 493370 561025 789392 897640 958000 986740 1122050 1233425 1795280 1973480 2244100 2311423 2466850 2805125 3946960 4488200 4622846 4933700 5610250 6167125 8976400 9245692 9867400 10749239 11220500 11557115 12334250 18491384 19734800 21498478 22441000 23114230 24668500 36982768 42996956 44882000 46228460 49337000 53746195 57785575 85993912 92456920 98674000 107492390 115571150 171987824 184913840 214984780 231142300 268730975 288927875 429969560 462284600 537461950 577855750 859939120 924569200 1074923900 1107171617 1155711500 1343654875 2149847800 2214343234 2311423000 2687309750 4299695600 4428686468 4622846000 5374619500 5535858085 8857372936 10749239000 11071716170 17714745872 21498478000 22143432340 27679290425 44286864680 55358580850 88573729360 110717161700 138396452125 221434323400 276792904250 442868646800 553585808500 1107171617000 2214343234000