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223023211133000 = 235317910611174307
BaseRepresentation
bin110010101101011010100011…
…010001101011100001001000
31002020122210220001012120021212
4302231122203101223201020
5213213003014022224000
62110155240534152252
764655616036066305
oct6255324321534110
91066583801176255
10223023211133000
1165075681532903
122101b4861b2688
139759cc9b16425
143d105497060ac
151abb52b281c35
hexcad6a346b848

223023211133000 has 128 divisors (see below), whose sum is σ = 525284878435200. Its totient is φ = 88627222432000.

The previous prime is 223023211132991. The next prime is 223023211133011. The reversal of 223023211133000 is 331112320322.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189331847 + ... + 190506153.

It is an arithmetic number, because the mean of its divisors is an integer number (4103788112775).

Almost surely, 2223023211133000 is an apocalyptic number.

223023211133000 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 223023211133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262642439217600).

223023211133000 is an abundant number, since it is smaller than the sum of its proper divisors (302261667302200).

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

223023211133000 is a wasteful number, since it uses less digits than its factorization.

223023211133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175568 (or 1175554 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 223023211133000 its reverse (331112320322), we get a palindrome (223354323453322).

The spelling of 223023211133000 in words is "two hundred twenty-three trillion, twenty-three billion, two hundred eleven million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 716 895 1000 1061 1432 1790 2122 3580 4244 4475 5305 7160 8488 8950 10610 17900 21220 22375 26525 35800 42440 44750 53050 89500 106100 132625 179000 189919 212200 265250 379838 530500 759676 949595 1061000 1174307 1519352 1899190 2348614 3798380 4697228 4747975 5871535 7596760 9394456 9495950 11743070 18991900 23486140 23739875 29357675 37983800 46972280 47479750 58715350 94959500 117430700 146788375 189919000 210200953 234861400 293576750 420401906 587153500 840803812 1051004765 1174307000 1245939727 1681607624 2102009530 2491879454 4204019060 4983758908 5255023825 6229698635 8408038120 9967517816 10510047650 12459397270 21020095300 24918794540 26275119125 31148493175 42040190600 49837589080 52550238250 62296986350 105100476500 124593972700 155742465875 210200953000 223023211133 249187945400 311484931750 446046422266 622969863500 892092844532 1115116055665 1245939727000 1784185689064 2230232111330 4460464222660 5575580278325 8920928445320 11151160556650 22302321113300 27877901391625 44604642226600 55755802783250 111511605566500 223023211133000