Search a number
-
+
352226742030 = 23353317615179
BaseRepresentation
bin1010010000000100101…
…10011000111100001110
31020200011021202102012000
411020002112120330032
521232330021221110
6425451041253130
734306335623352
oct5100226307416
91220137672160
10352226742030
111264188a4619
12583200341a6
13272a4004067
14130954b1462
1592677a41c0
hex5202598f0e

352226742030 has 128 divisors (see below), whose sum is σ = 943529126400. Its totient is φ = 93502252800.

The previous prime is 352226742011. The next prime is 352226742037. The reversal of 352226742030 is 30247622253.

352226742030 is a `hidden beast` number, since 3 + 5 + 2 + 226 + 7 + 420 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352226742037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68007981 + ... + 68013159.

It is an arithmetic number, because the mean of its divisors is an integer number (7371321300).

Almost surely, 2352226742030 is an apocalyptic number.

352226742030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352226742030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471764563200).

352226742030 is an abundant number, since it is smaller than the sum of its proper divisors (591302384370).

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

352226742030 is a wasteful number, since it uses less digits than its factorization.

352226742030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 352226742030 in words is "three hundred fifty-two billion, two hundred twenty-six million, seven hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 331 662 761 993 1522 1655 1986 2283 2979 3310 3805 4566 4965 5179 5958 6849 7610 8937 9930 10358 11415 13698 14895 15537 17874 20547 22830 25895 29790 31074 34245 41094 44685 46611 51790 68490 77685 89370 93222 102735 139833 155370 205470 233055 251891 279666 466110 503782 699165 755673 1259455 1398330 1511346 1714249 2267019 2518910 3428498 3778365 3941219 4534038 5142747 6801057 7556730 7882438 8571245 10285494 11335095 11823657 13602114 15428241 17142490 19706095 22670190 23647314 25713735 30856482 34005285 35470971 39412190 46284723 51427470 59118285 68010570 70941942 77141205 92569446 106412913 118236570 154282410 177354855 212825826 231423615 354709710 462847230 532064565 1064129130 1304543489 2609086978 3913630467 6522717445 7827260934 11740891401 13045434890 19568152335 23481782802 35222674203 39136304670 58704457005 70445348406 117408914010 176113371015 352226742030