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22126143252200 = 23521364113276217
BaseRepresentation
bin1010000011111101001001…
…11010001010011011101000
32220100020102222002111212112
411001332210322022123220
510400003320133032300
6115020335422501452
74442363312334431
oct501764472123350
986306388074775
1022126143252200
117060710047279
122594240734888
13c466426a6930
14566ca7cb2488
152858422ebe35
hex141fa4e8a6e8

22126143252200 has 96 divisors (see below), whose sum is σ = 55486891033560. Its totient is φ = 8156907110400.

The previous prime is 22126143252173. The next prime is 22126143252251. The reversal of 22126143252200 is 225234162122.

It can be written as a sum of positive squares in 12 ways, for example, as 4758270371716 + 17367872880484 = 2181346^2 + 4167478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4971509 + ... + 8304708.

Almost surely, 222126143252200 is an apocalyptic number.

22126143252200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22126143252200 is an abundant number, since it is smaller than the sum of its proper divisors (33360747781360).

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

22126143252200 is a wasteful number, since it uses less digits than its factorization.

22126143252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276887 (or 13276878 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 22126143252200 in words is "twenty-two trillion, one hundred twenty-six billion, one hundred forty-three million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 641 650 1282 1300 2564 2600 3205 5128 6410 8333 12820 16025 16666 25640 32050 33332 41665 64100 66664 83330 128200 166660 208325 333320 416650 833300 1666600 13276217 26552434 53104868 66381085 106209736 132762170 172590821 265524340 331905425 345181642 531048680 663810850 690363284 862954105 1327621700 1380726568 1725908210 2655243400 3451816420 4314770525 6903632840 8510055097 8629541050 17020110194 17259082100 34040220388 34518164200 42550275485 68080440776 85100550970 110630716261 170201101940 212751377425 221261432522 340402203880 425502754850 442522865044 553153581305 851005509700 885045730088 1106307162610 1702011019400 2212614325220 2765767906525 4425228650440 5531535813050 11063071626100 22126143252200