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233132400313220 = 2251730791151919333
BaseRepresentation
bin110101000000100001011101…
…111010000000001110000100
31010120110020110211010212212002
4311000201131322000032010
5221024120123440010340
62143455313550244432
7100051155132245162
oct6500413572001604
91116406424125762
10233132400313220
1168312994256041
12221927551b6718
13a0113a249ac15
14417d950074232
151be4497009715
hexd4085de80384

233132400313220 has 96 divisors (see below), whose sum is σ = 518616948326400. Its totient is φ = 87726831888384.

The previous prime is 233132400313213. The next prime is 233132400313279. The reversal of 233132400313220 is 22313004231332.

It is a happy number.

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, 12058770674 + ... + 12058790006.

It is an arithmetic number, because the mean of its divisors is an integer number (5402259878400).

Almost surely, 2233132400313220 is an apocalyptic number.

233132400313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233132400313220 is an abundant number, since it is smaller than the sum of its proper divisors (285484548013180).

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

233132400313220 is a wasteful number, since it uses less digits than its factorization.

233132400313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33957 (or 33955 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 233132400313220 its reverse (22313004231332), we get a palindrome (255445404544552).

The spelling of 233132400313220 in words is "two hundred thirty-three trillion, one hundred thirty-two billion, four hundred million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3079 6158 11519 12316 15395 19333 23038 30790 38666 46076 52343 57595 61580 77332 96665 104686 115190 193330 195823 209372 230380 261715 328661 386660 391646 523430 657322 783292 979115 1046860 1314644 1643305 1958230 3286610 3916460 6573220 35467001 59526307 70934002 119052614 141868004 177335005 222696827 238105228 297631535 354670010 445393654 595263070 602939017 709340020 890787308 1011947219 1113484135 1190526140 1205878034 2023894438 2226968270 2411756068 3014695085 3785846059 4047788876 4453936540 5059736095 6029390170 7571692118 10119472190 12058780340 15143384236 18929230295 20238944380 37858460590 75716921180 685683530333 1371367060666 2742734121332 3428417651665 6856835303330 11656620015661 13713670606660 23313240031322 46626480062644 58283100078305 116566200156610 233132400313220