Search a number
-
+
228818007072 = 25327123972
BaseRepresentation
bin1101010100011010011…
…1011011010000100000
3210212121201110010101200
43111012213123100200
512222104402211242
6253041220001200
722350215653224
oct3250647332040
9725551403350
10228818007072
118904a888476
123841a830200
1318767856075
14b109566784
155e4341d04c
hex35469db420

228818007072 has 162 divisors, whose sum is σ = 661661738829. Its totient is φ = 75008989440.

The previous prime is 228818007053. The next prime is 228818007157. The reversal of 228818007072 is 270700818822.

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 221987976336 + 6830030736 = 471156^2 + 82644^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 576367578 + ... + 576367974.

Almost surely, 2228818007072 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 228818007072

228818007072 is an abundant number, since it is smaller than the sum of its proper divisors (432843731757).

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

228818007072 is an frugal number, since it uses more digits than its factorization.

228818007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 228818007072 in words is "two hundred twenty-eight billion, eight hundred eighteen million, seven thousand, seventy-two".