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231345947448 = 233571117229397
BaseRepresentation
bin1101011101110101001…
…0110000001100111000
3211010010220012210200000
43113131102300030320
512242244030304243
6254140122313000
722466653051620
oct3273522601470
9733126183600
10231345947448
118a1278354a0
1238a05358760
1318a7b4b8b85
14b2a91ab880
1560403175d3
hex35dd4b0338

231345947448 has 768 divisors, whose sum is σ = 863668915200. Its totient is φ = 56166359040.

The previous prime is 231345947423. The next prime is 231345947449. The reversal of 231345947448 is 844749543132.

231345947448 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 4 + 594 + 7 + 4 + 48 = 666.

231345947448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313459474482 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 231345947394 and 231345947403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231345947449) 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 191 ways as a sum of consecutive naturals, for example, 582735186 + ... + 582735582.

It is an arithmetic number, because the mean of its divisors is an integer number (1124568900).

Almost surely, 2231345947448 is an apocalyptic number.

231345947448 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 231345947448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431834457600).

231345947448 is an abundant number, since it is smaller than the sum of its proper divisors (632322967752).

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

231345947448 is a wasteful number, since it uses less digits than its factorization.

231345947448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 231345947448 in words is "two hundred thirty-one billion, three hundred forty-five million, nine hundred forty-seven thousand, four hundred forty-eight".