Search a number
-
+
228158231072 = 2517249672
BaseRepresentation
bin1101010001111101001…
…0100101001000100000
3210210220201222000212112
43110133102211020200
512214232001343242
6252451530414452
722324654652102
oct3243722451040
9723821860775
10228158231072
1188841411a52
1238275891428
1318690c5b475
14b085a9d572
155e05543c82
hex351f4a5220

228158231072 has 54 divisors (see below), whose sum is σ = 477259618437. Its totient is φ = 107346962944.

The previous prime is 228158230991. The next prime is 228158231167. The reversal of 228158231072 is 270132851822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 208816097296 + 19342133776 = 456964^2 + 139076^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337756.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45932333 + ... + 45937299.

Almost surely, 2228158231072 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 228158231072

228158231072 is an abundant number, since it is smaller than the sum of its proper divisors (249101387365).

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

228158231072 is an frugal number, since it uses more digits than its factorization.

228158231072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 228158231072 in words is "two hundred twenty-eight billion, one hundred fifty-eight million, two hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 4967 9248 9934 19868 39736 79472 84439 158944 168878 337756 675512 1351024 1435463 2702048 2870926 5741852 11483704 22967408 24671089 45934816 49342178 98684356 197368712 394737424 419408513 789474848 838817026 1677634052 3355268104 6710536208 7129944721 13421072416 14259889442 28519778884 57039557768 114079115536 228158231072