Search a number
-
+
227405564556 = 2231922735912239
BaseRepresentation
bin1101001111001001101…
…1011000101010001100
3210201222021200121111220
43103302123120222030
512211211311031211
6252245122243340
722300215256062
oct3236233305214
9721867617456
10227405564556
1188495570505
12380a57b6550
13185a103c071
14b013b36032
155dae41b806
hex34f26d8a8c

227405564556 has 96 divisors (see below), whose sum is σ = 562609152000. Its totient is φ = 71290951488.

The previous prime is 227405564527. The next prime is 227405564579. The reversal of 227405564556 is 655465504722.

227405564556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 227405564499 and 227405564508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18574285 + ... + 18586523.

It is an arithmetic number, because the mean of its divisors is an integer number (5860512000).

Almost surely, 2227405564556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227405564556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281304576000).

227405564556 is an abundant number, since it is smaller than the sum of its proper divisors (335203587444).

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

227405564556 is a wasteful number, since it uses less digits than its factorization.

227405564556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 51.

The spelling of 227405564556 in words is "two hundred twenty-seven billion, four hundred five million, five hundred sixty-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 227 228 359 454 681 718 908 1077 1362 1436 2154 2724 4308 4313 6821 8626 12239 12939 13642 17252 20463 24478 25878 27284 36717 40926 48956 51756 73434 81493 81852 146868 162986 232541 244479 325972 465082 488958 697623 930164 977916 1395246 1548367 2778253 2790492 3096734 4393801 4645101 5556506 6193468 8334759 8787602 9290202 11113012 13181403 16669518 17575204 18580404 26362806 33339036 52725612 52786807 83482219 105573614 158360421 166964438 211147228 250446657 316720842 333928876 500893314 633441684 997392827 1001786628 1994785654 2992178481 3989571308 5984356962 11968713924 18950463713 37900927426 56851391139 75801854852 113702782278 227405564556