Search a number
-
+
238205678756 = 22109354484373
BaseRepresentation
bin1101110111011000101…
…0100011010010100100
3211202211222000020222112
43131312022203102210
512400321123210011
6301232530220152
723131646601353
oct3356612432244
9752758006875
10238205678756
1192027994121
123a1ba724658
131960271c396
14b75a25399a
1562e267558b
hex37762a34a4

238205678756 has 12 divisors (see below), whose sum is σ = 417241336092. Its totient is φ = 118993868448.

The previous prime is 238205678717. The next prime is 238205678773. The reversal of 238205678756 is 657876502832.

It is a happy number.

238205678756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226370414656 + 11835264100 = 475784^2 + 108790^2 .

It is a junction number, because it is equal to n+sod(n) for n = 238205678695 and 238205678704.

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 3 ways as a sum of consecutive naturals, for example, 27237815 + ... + 27246558.

It is an arithmetic number, because the mean of its divisors is an integer number (34770111341).

Almost surely, 2238205678756 is an apocalyptic number.

It is an amenable number.

238205678756 is a deficient number, since it is larger than the sum of its proper divisors (179035657336).

238205678756 is a wasteful number, since it uses less digits than its factorization.

238205678756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54485470 (or 54485468 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 59.

The spelling of 238205678756 in words is "two hundred thirty-eight billion, two hundred five million, six hundred seventy-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 1093 2186 4372 54484373 108968746 217937492 59551419689 119102839378 238205678756