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2330230312300 = 22521167212914851
BaseRepresentation
bin100001111010001100100…
…011001100110101101100
322020202201202102212011111
4201322030203030311230
5301134302424443200
64542254254401404
7330232164562612
oct41721443146554
98222652385144
102330230312300
11819277298160
12317745500264
1313b980396527
1480ad886d6b2
154093460b0ba
hex21e8c8ccd6c

2330230312300 has 144 divisors (see below), whose sum is σ = 5601630222720. Its totient is φ = 834261120000.

The previous prime is 2330230312297. The next prime is 2330230312301. The reversal of 2330230312300 is 32130320332.

It is a super-3 number, since 3×23302303123003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2330230312301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156899875 + ... + 156914725.

It is an arithmetic number, because the mean of its divisors is an integer number (38900209880).

Almost surely, 22330230312300 is an apocalyptic number.

2330230312300 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 2330230312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800815111360).

2330230312300 is an abundant number, since it is smaller than the sum of its proper divisors (3271399910420).

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

2330230312300 is a wasteful number, since it uses less digits than its factorization.

2330230312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17072 (or 17065 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 2330230312300 its reverse (32130320332), we get a palindrome (2362360632632).

The spelling of 2330230312300 in words is "two trillion, three hundred thirty billion, two hundred thirty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2129 2948 3350 3685 4258 6700 7370 8516 10645 14740 14851 18425 21290 23419 29702 36850 42580 46838 53225 59404 73700 74255 93676 106450 117095 142643 148510 163361 212900 234190 285286 297020 326722 371275 468380 570572 585475 653444 713215 742550 816805 995017 1170950 1426430 1485100 1569073 1633610 1990034 2341900 2852860 3138146 3267220 3566075 3980068 4084025 4975085 6276292 7132150 7845365 8168050 9950170 10945187 14264300 15690730 16336100 19900340 21890374 24875425 31381460 31617779 39226825 43780748 49750850 54725935 63235558 78453650 99501700 109451870 126471116 156907300 158088895 218903740 273629675 316177790 347795569 547259350 632355580 695591138 790444475 1094518700 1391182276 1580888950 1738977845 2118391193 3161777900 3477955690 4236782386 6955911380 8473564772 8694889225 10591955965 17389778450 21183911930 23302303123 34779556900 42367823860 46604606246 52959779825 93209212492 105919559650 116511515615 211839119300 233023031230 466046062460 582557578075 1165115156150 2330230312300