Search a number
-
+
227055530760 = 233531467130699
BaseRepresentation
bin1101001101110110010…
…0000111001100001000
3210201001220001001102020
43103131210013030020
512210002203441020
6252150300004440
722255435111302
oct3233544071410
9721056031366
10227055530760
1188325a22983
1238008530720
1318546673686
14adbd45a972
155d8d827c40
hex34dd907308

227055530760 has 128 divisors (see below), whose sum is σ = 704650752000. Its totient is φ = 58469057280.

The previous prime is 227055530749. The next prime is 227055530831. The reversal of 227055530760 is 67035550722.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1671891 + ... + 1802589.

It is an arithmetic number, because the mean of its divisors is an integer number (5505084000).

Almost surely, 2227055530760 is an apocalyptic number.

227055530760 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 227055530760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352325376000).

227055530760 is an abundant number, since it is smaller than the sum of its proper divisors (477595221240).

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

227055530760 is a wasteful number, since it uses less digits than its factorization.

227055530760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131211 (or 131207 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 227055530760 in words is "two hundred twenty-seven billion, fifty-five million, five hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 467 620 744 930 934 1240 1401 1860 1868 2335 2802 3720 3736 4670 5604 7005 9340 11208 14010 14477 18680 28020 28954 43431 56040 57908 72385 86862 115816 130699 144770 173724 217155 261398 289540 347448 392097 434310 522796 579080 653495 784194 868620 1045592 1306990 1568388 1737240 1960485 2613980 3136776 3920970 4051669 5227960 7841940 8103338 12155007 15683880 16206676 20258345 24310014 32413352 40516690 48620028 60775035 61036433 81033380 97240056 121550070 122072866 162066760 183109299 243100140 244145732 305182165 366218598 486200280 488291464 610364330 732437196 915546495 1220728660 1464874392 1831092990 1892129423 2441457320 3662185980 3784258846 5676388269 7324371960 7568517692 9460647115 11352776538 15137035384 18921294230 22705553076 28381941345 37842588460 45411106152 56763882690 75685176920 113527765380 227055530760