Search a number
-
+
228571960463 = 72111788728123
BaseRepresentation
bin1101010011011111110…
…0110101010010001111
3210211222120110122220022
43110313330311102033
512221103410213323
6253000550212355
722341140415200
oct3246774652217
9724876418808
10228571960463
1188a33a04a70
12383703540bb
1318728898c62
14b0c49d95a7
155e2ba1a4c8
hex3537f3548f

228571960463 has 48 divisors (see below), whose sum is σ = 307481266944. Its totient is φ = 167436138240.

The previous prime is 228571960453. The next prime is 228571960469. The reversal of 228571960463 is 364069175822.

It is a Cunningham number, because it is equal to 4780922-1.

It is not a de Polignac number, because 228571960463 - 212 = 228571956367 is a prime.

It is a super-2 number, since 2×2285719604632 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228571960469) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8113520 + ... + 8141642.

It is an arithmetic number, because the mean of its divisors is an integer number (6405859728).

It is a 1-persistent number, because it is pandigital, but 2⋅228571960463 = 457143920926 is not.

Almost surely, 2228571960463 is an apocalyptic number.

228571960463 is a deficient number, since it is larger than the sum of its proper divisors (78909306481).

228571960463 is a wasteful number, since it uses less digits than its factorization.

228571960463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29052 (or 29045 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 228571960463 in words is "two hundred twenty-eight billion, five hundred seventy-one million, nine hundred sixty thousand, four hundred sixty-three".

Divisors: 1 7 11 17 49 77 119 187 539 833 887 1309 6209 9163 9757 15079 28123 43463 68299 105553 165869 196861 309353 478091 478093 738871 1161083 1378027 2165471 3346637 5259001 8127581 15158297 23426459 24945101 36813007 174615707 257691049 274396111 424066717 1222309949 1920772777 2968467019 4664733887 13445409439 20779269133 32653137209 228571960463