Search a number
-
+
323212220232 = 233117135274889
BaseRepresentation
bin1001011010000001111…
…00110001011101001000
31010220021012210222202120
410231000330301131020
520243414312021412
6404252011331240
732231333353656
oct4550074613510
91126235728676
10323212220232
11115089965990
1252783150b20
132462bb63375
1411901cb3dd6
15861a43db8c
hex4b40f31748

323212220232 has 128 divisors (see below), whose sum is σ = 894339532800. Its totient is φ = 96516492800.

The previous prime is 323212220209. The next prime is 323212220239. The reversal of 323212220232 is 232022212323.

It is a super-2 number, since 2×3232122202322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (323212220239) by changing a digit.

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, 66107644 + ... + 66112532.

It is an arithmetic number, because the mean of its divisors is an integer number (6987027600).

Almost surely, 2323212220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323212220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447169766400).

323212220232 is an abundant number, since it is smaller than the sum of its proper divisors (571127312568).

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

323212220232 is a wasteful number, since it uses less digits than its factorization.

323212220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 323212220232 its reverse (232022212323), we get a palindrome (555234432555).

The spelling of 323212220232 in words is "three hundred twenty-three billion, two hundred twelve million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 3527 4686 4889 6248 7054 9372 9778 10581 14108 14667 18744 19556 21162 28216 29334 38797 39112 42324 53779 58668 77594 84648 107558 116391 117336 155188 161337 215116 232782 250417 310376 322674 347119 430232 465564 500834 645348 694238 751251 931128 1001668 1041357 1290696 1388476 1502502 2003336 2082714 2754587 2776952 3005004 3818309 4165428 5509174 6010008 7636618 8263761 8330856 11018348 11454927 15273236 16527522 17243503 22036696 22909854 30546472 33055044 34487006 45819708 51730509 66110088 68974012 91639416 103461018 137948024 189678533 206922036 379357066 413844072 569035599 758714132 1138071198 1224288713 1517428264 2276142396 2448577426 3672866139 4552284792 4897154852 7345732278 9794309704 13467175843 14691464556 26934351686 29382929112 40401527529 53868703372 80803055058 107737406744 161606110116 323212220232