Search a number
-
+
234033310000 = 245472477619
BaseRepresentation
bin1101100111110101111…
…0001110100100110000
3211101002011221222001101
43121331132032210300
512313300011410000
6255302522014144
722623364212100
oct3317536164460
9741064858041
10234033310000
119028677a786
1239435347354
13190b9199429
14b482071200
15614b202e6a
hex367d78e930

234033310000 has 150 divisors (see below), whose sum is σ = 659128495740. Its totient is φ = 80239824000.

The previous prime is 234033309997. The next prime is 234033310009. The reversal of 234033310000 is 13330432.

It is a super-2 number, since 2×2340333100002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234033310000.

It is not an unprimeable number, because it can be changed into a prime (234033310009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 251191 + ... + 728809.

Almost surely, 2234033310000 is an apocalyptic number.

234033310000 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 234033310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329564247870).

234033310000 is an abundant number, since it is smaller than the sum of its proper divisors (425095185740).

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

234033310000 is an equidigital number, since it uses as much as digits as its factorization.

234033310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477661 (or 477633 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 234033310000 its reverse (13330432), we get a palindrome (234046640432).

The spelling of 234033310000 in words is "two hundred thirty-four billion, thirty-three million, three hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 477619 490000 955238 1910476 2388095 3343333 3820952 4776190 6686666 7641904 9552380 11940475 13373332 16716665 19104760 23403331 23880950 26746664 33433330 38209520 46806662 47761900 53493328 59702375 66866660 83583325 93613324 95523800 117016655 119404750 133733320 167166650 187226648 191047600 234033310 238809500 267466640 298511875 334333300 374453296 417916625 468066620 477619000 585083275 597023750 668666600 835833250 936133240 955238000 1170166550 1194047500 1337333200 1671666500 1872266480 2089583125 2340333100 2388095000 2925416375 3343333000 4179166250 4680666200 4776190000 5850832750 6686666000 8358332500 9361332400 11701665500 14627081875 16716665000 23403331000 29254163750 33433330000 46806662000 58508327500 117016655000 234033310000