Search a number
-
+
232306866660 = 2235112131244261
BaseRepresentation
bin1101100001011010010…
…0010111100111100100
3211012121212100120000110
43120112210113213210
512301231024213120
6254415330213020
722532531533431
oct3302644274744
9735555316013
10232306866660
118a580196300
1239033124170
1318ba25c1a1b
14b35aa64b88
1560998792e0
hex36169179e4

232306866660 has 144 divisors (see below), whose sum is σ = 720428296896. Its totient is φ = 55886688000.

The previous prime is 232306866637. The next prime is 232306866691. The reversal of 232306866660 is 66668603232.

232306866660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828930 + ... + 1073190.

It is an arithmetic number, because the mean of its divisors is an integer number (5002974284).

Almost surely, 2232306866660 is an apocalyptic number.

232306866660 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 232306866660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360214148448).

232306866660 is an abundant number, since it is smaller than the sum of its proper divisors (488121430236).

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

232306866660 is a wasteful number, since it uses less digits than its factorization.

232306866660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244426 (or 244413 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 232306866660 in words is "two hundred thirty-two billion, three hundred six million, eight hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 131 132 165 220 242 262 330 363 393 484 524 605 655 660 726 786 1210 1310 1441 1452 1572 1815 1965 2420 2620 2882 3630 3930 4323 5764 7205 7260 7860 8646 14410 15851 17292 21615 28820 31702 43230 47553 63404 79255 86460 95106 158510 190212 237765 244261 317020 475530 488522 732783 951060 977044 1221305 1465566 2442610 2686871 2931132 3663915 4885220 5373742 7327830 8060613 10747484 13434355 14655660 16121226 26868710 29555581 31998191 32242452 40303065 53737420 59111162 63996382 80606130 88666743 95994573 118222324 127992764 147777905 159990955 161212260 177333486 191989146 295555810 319981910 351980101 354666972 383978292 443333715 479972865 591111620 639963820 703960202 886667430 959945730 1055940303 1407920404 1759900505 1773334860 1919891460 2111880606 3519801010 3871781111 4223761212 5279701515 7039602020 7743562222 10559403030 11615343333 15487124444 19358905555 21118806060 23230686666 38717811110 46461373332 58076716665 77435622220 116153433330 232306866660