Search a number
-
+
223032123110000 = 245464913436021
BaseRepresentation
bin110010101101100010110110…
…011110001011001001110000
31002020200122220010122220110002
4302231202312132023021300
5213213124242004010000
62110203313132525132
764656352632460451
oct6255426636131160
91066618803586402
10223032123110000
1165079435073056
12210211529207a8
13975aaba2875b9
143d10b53167128
151abb89d8728d5
hexcad8b678b270

223032123110000 has 100 divisors (see below), whose sum is σ = 540066419943864. Its totient is φ = 89199079200000.

The previous prime is 223032123109979. The next prime is 223032123110011. The reversal of 223032123110000 is 11321230322.

223032123110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×2230321231100004 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63191990 + ... + 66628010.

Almost surely, 2223032123110000 is an apocalyptic number.

223032123110000 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 223032123110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270033209971932).

223032123110000 is an abundant number, since it is smaller than the sum of its proper divisors (317034296833864).

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

223032123110000 is an equidigital number, since it uses as much as digits as its factorization.

223032123110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442540 (or 3442519 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 223032123110000 its reverse (11321230322), we get a palindrome (223043444340322).

The spelling of 223032123110000 in words is "two hundred twenty-three trillion, thirty-two billion, one hundred twenty-three million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6491 10000 12982 25964 32455 51928 64910 103856 129820 162275 259640 324550 519280 649100 811375 1298200 1622750 2596400 3245500 3436021 4056875 6491000 6872042 8113750 12982000 13744084 16227500 17180105 27488168 32455000 34360210 54976336 64910000 68720420 85900525 137440840 171801050 274881680 343602100 429502625 687204200 859005250 1374408400 1718010500 2147513125 3436021000 4295026250 6872042000 8590052500 17180105000 22303212311 34360210000 44606424622 89212849244 111516061555 178425698488 223032123110 356851396976 446064246220 557580307775 892128492440 1115160615550 1784256984880 2230321231100 2787901538875 4460642462200 5575803077750 8921284924400 11151606155500 13939507694375 22303212311000 27879015388750 44606424622000 55758030777500 111516061555000 223032123110000