Search a number
-
+
223120014230000 = 245426638378521
BaseRepresentation
bin110010101110110100101101…
…001100001100000111110000
31002021000001202102022102001202
4302232310231030030013300
5213221044242120330000
62110311530340350332
764665613643614016
oct6256645514140760
91067001672272052
10223120014230000
1165102737340408
12210361a13a53a8
1397661861ccb94
143d150cdd468b6
151abdce49d0dd5
hexcaed2d30c1f0

223120014230000 has 100 divisors (see below), whose sum is σ = 540398783322288. Its totient is φ = 89214480960000.

The previous prime is 223120014229997. The next prime is 223120014230011. The reversal of 223120014230000 is 32410021322.

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

It is a super-3 number, since 3×2231200142300003 (a number of 44 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22440740 + ... + 30819260.

Almost surely, 2223120014230000 is an apocalyptic number.

223120014230000 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 223120014230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270199391661144).

223120014230000 is an abundant number, since it is smaller than the sum of its proper divisors (317278769092288).

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

223120014230000 is an equidigital number, since it uses as much as digits as its factorization.

223120014230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381212 (or 8381191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 223120014230000 its reverse (32410021322), we get a palindrome (223152424251322).

The spelling of 223120014230000 in words is "two hundred twenty-three trillion, one hundred twenty billion, fourteen million, two hundred thirty 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 2663 5000 5326 10000 10652 13315 21304 26630 42608 53260 66575 106520 133150 213040 266300 332875 532600 665750 1065200 1331500 1664375 2663000 3328750 5326000 6657500 8378521 13315000 16757042 26630000 33514084 41892605 67028168 83785210 134056336 167570420 209463025 335140840 418926050 670281680 837852100 1047315125 1675704200 2094630250 3351408400 4189260500 5236575625 8378521000 10473151250 16757042000 20946302500 22312001423 41892605000 44624002846 83785210000 89248005692 111560007115 178496011384 223120014230 356992022768 446240028460 557800035575 892480056920 1115600071150 1784960113840 2231200142300 2789000177875 4462400284600 5578000355750 8924800569200 11156000711500 13945000889375 22312001423000 27890001778750 44624002846000 55780003557500 111560007115000 223120014230000