Search a number
-
+
230326798262752 = 25371756871107269
BaseRepresentation
bin110100010111101100100010…
…111111100010000111100000
31010012112000201120220122100201
4310113230202333202013200
5220142133240323402002
62133510400445354544
766341363530301332
oct6427544277420740
91105460646818321
10230326798262752
1167431057015094
12219baa62868a54
139b69954495629
1440c3c3b23d452
151b964de00d087
hexd17b22fe21e0

230326798262752 has 48 divisors (see below), whose sum is σ = 465714519913440. Its totient is φ = 112050135848448.

The previous prime is 230326798262749. The next prime is 230326798262753. The reversal of 230326798262752 is 257262897623032.

230326798262752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303267982627522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230326798262753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207459774 + ... + 208567042.

It is an arithmetic number, because the mean of its divisors is an integer number (9702385831530).

Almost surely, 2230326798262752 is an apocalyptic number.

It is an amenable number.

230326798262752 is an abundant number, since it is smaller than the sum of its proper divisors (235387721650688).

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

230326798262752 is a wasteful number, since it uses less digits than its factorization.

230326798262752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283003 (or 1282995 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 64.

The spelling of 230326798262752 in words is "two hundred thirty trillion, three hundred twenty-six billion, seven hundred ninety-eight million, two hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 175687 351374 702748 1107269 1405496 2214538 2810992 4429076 5621984 6500419 8858152 13000838 17716304 26001676 35432608 40968953 52003352 81937906 104006704 163875812 208013408 327751624 655503248 1311006496 194532768803 389065537606 778131075212 1556262150424 3112524300848 6225048601696 7197712445711 14395424891422 28790849782844 57581699565688 115163399131376 230326798262752