Search a number
-
+
231361226208 = 25337241158731
BaseRepresentation
bin1101011101111000110…
…1000010010111100000
3211010011221222001012000
43113132031002113200
512242311433214313
6254141430004000
722500226655250
oct3273615022740
9733157861160
10231361226208
118a135420672
1238a0a4a6600
1318a81708368
14b2ab227960
156041834673
hex35de3425e0

231361226208 has 192 divisors, whose sum is σ = 774408983040. Its totient is φ = 65828505600.

The previous prime is 231361226203. The next prime is 231361226221. The reversal of 231361226208 is 802622163132.

231361226208 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 6 + 1 + 22 + 620 + 8 = 666.

231361226208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231361226203) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1378203 + ... + 1536933.

It is an arithmetic number, because the mean of its divisors is an integer number (4033380120).

Almost surely, 2231361226208 is an apocalyptic number.

231361226208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231361226208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387204491520).

231361226208 is an abundant number, since it is smaller than the sum of its proper divisors (543047756832).

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

231361226208 is a wasteful number, since it uses less digits than its factorization.

231361226208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158998 (or 158984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 231361226208 in words is "two hundred thirty-one billion, three hundred sixty-one million, two hundred twenty-six thousand, two hundred eight".