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213434422240 = 25513472183249
BaseRepresentation
bin1100011011000110101…
…1101101001111100000
3202101220121112001020111
43012301223231033200
511444103203002430
6242014520221104
721264050440534
oct3066153551740
9671817461214
10213434422240
11825761924a6
123544690a794
13171856c5250
14a48a411bc4
155842ad8c2a
hex31b1aed3e0

213434422240 has 96 divisors (see below), whose sum is σ = 554580432000. Its totient is φ = 77129785344.

The previous prime is 213434422237. The next prime is 213434422249. The reversal of 213434422240 is 42224434312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213434422249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993865 + ... + 1189384.

It is an arithmetic number, because the mean of its divisors is an integer number (5776879500).

Almost surely, 2213434422240 is an apocalyptic number.

213434422240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213434422240 is an abundant number, since it is smaller than the sum of its proper divisors (341146009760).

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

213434422240 is a wasteful number, since it uses less digits than its factorization.

213434422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183324 (or 2183316 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 213434422240 its reverse (42224434312), we get a palindrome (255658856552).

The spelling of 213434422240 in words is "two hundred thirteen billion, four hundred thirty-four million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 65 80 94 104 130 160 188 208 235 260 376 416 470 520 611 752 940 1040 1222 1504 1880 2080 2444 3055 3760 4888 6110 7520 9776 12220 19552 24440 48880 97760 2183249 4366498 8732996 10916245 17465992 21832490 28382237 34931984 43664980 56764474 69863968 87329960 102612703 113528948 141911185 174659920 205225406 227057896 283822370 349319840 410450812 454115792 513063515 567644740 820901624 908231584 1026127030 1135289480 1333965139 1641803248 2052254060 2270578960 2667930278 3283606496 4104508120 4541157920 5335860556 6669825695 8209016240 10671721112 13339651390 16418032480 21343442224 26679302780 42686884448 53358605560 106717211120 213434422240