Search a number
-
+
233412302004 = 223717547298819
BaseRepresentation
bin1101100101100001110…
…1010001010010110100
3211022110220102111020020
43121120131101102310
512311012022131004
6255121135405140
722602113555130
oct3313035212264
9738426374206
10233412302004
118aa98183232
12392a13837b0
131901a62668b
14b4237ba3c0
1561119358d9
hex36587514b4

233412302004 has 96 divisors (see below), whose sum is σ = 660253547520. Its totient is φ = 62651377152.

The previous prime is 233412302003. The next prime is 233412302023. The reversal of 233412302004 is 400203214332.

233412302004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233412302003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631707 + ... + 930525.

It is an arithmetic number, because the mean of its divisors is an integer number (6877641120).

Almost surely, 2233412302004 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 233412302004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330126773760).

233412302004 is an abundant number, since it is smaller than the sum of its proper divisors (426841245516).

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

233412302004 is a wasteful number, since it uses less digits than its factorization.

233412302004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299397 (or 299395 counting only the distinct ones).

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

Adding to 233412302004 its reverse (400203214332), we get a palindrome (633615516336).

The spelling of 233412302004 in words is "two hundred thirty-three billion, four hundred twelve million, three hundred two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 547 714 1094 1428 1641 2188 3282 3829 6564 7658 9299 11487 15316 18598 22974 27897 37196 45948 55794 65093 111588 130186 195279 260372 298819 390558 597638 781116 896457 1195276 1792914 2091733 3585828 4183466 5079923 6275199 8366932 10159846 12550398 15239769 20319692 25100796 30479538 35559461 60959076 71118922 106678383 142237844 163453993 213356766 326907986 426713532 490361979 653815972 980723958 1144177951 1961447916 2288355902 2778717881 3432533853 4576711804 5557435762 6865067706 8336153643 11114871524 13730135412 16672307286 19451025167 33344614572 38902050334 58353075501 77804100668 116706151002 233412302004