Search a number
-
+
228116351250 = 23454192792
BaseRepresentation
bin1101010001110011001…
…0110100100100010010
3210210210211011022120000
43110130302310210102
512214140241220000
6252443433030430
722323635664354
oct3243462644422
9723724138500
10228116351250
118881a808027
1238263855416
13186853870c8
14b0802bb0d4
155e01a20000
hex351ccb4912

228116351250 has 450 divisors, whose sum is σ = 682760558403. Its totient is φ = 56899908000.

The previous prime is 228116351219. The next prime is 228116351251. The reversal of 228116351250 is 52153611822.

228116351250 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 1 + 635 + 12 + 5 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 52740500409 + 175375850841 = 229653^2 + 418779^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337725.

It is a super-2 number, since 2×2281163512502 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (228116351251) by changing a digit.

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 224 ways as a sum of consecutive naturals, for example, 2887548711 + ... + 2887548789.

Almost surely, 2228116351250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228116351250

228116351250 is an abundant number, since it is smaller than the sum of its proper divisors (454644207153).

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

228116351250 is an frugal number, since it uses more digits than its factorization.

228116351250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 228116351250 in words is "two hundred twenty-eight billion, one hundred sixteen million, three hundred fifty-one thousand, two hundred fifty".