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212214422143400 = 23522959620147347
BaseRepresentation
bin110000010000001000000101…
…001111111000000110101000
31000211101111111221210122022112
4300100020011033320012220
5210303410114032042100
62031201543142141452
762461662132431405
oct6020100517700650
91024344457718275
10212214422143400
11616886a3977126
121b9746b0721888
139154970ba1ca1
143a59338c872ac
1519802b6651b35
hexc102053f81a8

212214422143400 has 96 divisors (see below), whose sum is σ = 519063330276000. Its totient is φ = 80569543192320.

The previous prime is 212214422143369. The next prime is 212214422143403. The reversal of 212214422143400 is 4341224412212.

It is not an unprimeable number, because it can be changed into a prime (212214422143403) 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 23 ways as a sum of consecutive naturals, for example, 309731474 + ... + 310415873.

It is an arithmetic number, because the mean of its divisors is an integer number (5406909690375).

Almost surely, 2212214422143400 is an apocalyptic number.

212214422143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212214422143400 is an abundant number, since it is smaller than the sum of its proper divisors (306848908132600).

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

212214422143400 is a wasteful number, since it uses less digits than its factorization.

212214422143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620147451 (or 620147442 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 212214422143400 its reverse (4341224412212), we get a palindrome (216555646555612).

The spelling of 212214422143400 in words is "two hundred twelve trillion, two hundred fourteen billion, four hundred twenty-two million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 59 100 116 118 145 200 232 236 290 295 472 580 590 725 1160 1180 1450 1475 1711 2360 2900 2950 3422 5800 5900 6844 8555 11800 13688 17110 34220 42775 68440 85550 171100 342200 620147347 1240294694 2480589388 3100736735 4961178776 6201473470 12402946940 15503683675 17984273063 24805893880 31007367350 35968546126 36588693473 62014734700 71937092252 73177386946 89921365315 124029469400 143874184504 146354773892 179842730630 182943467365 292709547784 359685461260 365886934730 449606826575 719370922520 731773869460 899213653150 914717336825 1061072110717 1463547738920 1798427306300 1829434673650 2122144221434 3596854612600 3658869347300 4244288442868 5305360553585 7317738694600 8488576885736 10610721107170 21221442214340 26526802767925 42442884428680 53053605535850 106107211071700 212214422143400