Search a number
-
+
232325522230424 = 23721275218957141
BaseRepresentation
bin110100110100110010000000…
…001110011000110010011000
31010110121002210002200100001012
4310310302000032120302120
5220422410132142333144
62142040512124513052
766635652006561500
oct6464620016306230
91113532702610035
10232325522230424
11680317786489a7
12220822ab3ab788
139c8328356408c
14415288844aa00
151bcd4bee81e9e
hexd34c80398c98

232325522230424 has 96 divisors (see below), whose sum is σ = 511700741890560. Its totient is φ = 98594464550400.

The previous prime is 232325522230337. The next prime is 232325522230429. The reversal of 232325522230424 is 424032225523232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232325522230429) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21458894 + ... + 30416034.

It is an arithmetic number, because the mean of its divisors is an integer number (5330216061360).

Almost surely, 2232325522230424 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 232325522230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255850370945280).

232325522230424 is an abundant number, since it is smaller than the sum of its proper divisors (279375219660136).

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

232325522230424 is a wasteful number, since it uses less digits than its factorization.

232325522230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8957809 (or 8957798 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 41.

Adding to 232325522230424 its reverse (424032225523232), we get a palindrome (656357747753656).

The spelling of 232325522230424 in words is "two hundred thirty-two trillion, three hundred twenty-five billion, five hundred twenty-two million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 392 508 521 889 1016 1042 1778 2084 3556 3647 4168 6223 7112 7294 12446 14588 24892 25529 29176 49784 51058 66167 102116 132334 204232 264668 463169 529336 926338 1852676 3242183 3705352 6484366 8957141 12968732 17914282 25937464 35828564 62699987 71657128 125399974 250799948 438899909 501599896 877799818 1137556907 1755599636 2275113814 3511199272 4550227628 4666670461 7962898349 9100455256 9333340922 15925796698 18666681844 31851593396 32666693227 37333363688 55740288443 63703186792 65333386454 111480576886 130666772908 222961153772 228666852589 261333545816 445922307544 457333705178 592667148547 914667410356 1185334297094 1829334820712 2370668594188 4148670039829 4741337188376 8297340079658 16594680159316 29040690278803 33189360318632 58081380557606 116162761115212 232325522230424