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229683491856 = 243271331695531
BaseRepresentation
bin1101010111101000110…
…0111111010000010000
3210221212001000022022200
43111322030333100100
512230342433214411
6253303134203200
722410525316410
oct3257214772020
9727761008280
10229683491856
1189454385a55
1238620653500
1318874c56540
14b18c49a640
155e943cce56
hex357a33f410

229683491856 has 240 divisors, whose sum is σ = 791524755840. Its totient is φ = 60545802240.

The previous prime is 229683491833. The next prime is 229683491857. The reversal of 229683491856 is 658194386922.

229683491856 is a `hidden beast` number, since 2 + 2 + 9 + 68 + 3 + 491 + 85 + 6 = 666.

229683491856 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 229683491793 and 229683491802.

It is not an unprimeable number, because it can be changed into a prime (229683491857) 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 47 ways as a sum of consecutive naturals, for example, 41523811 + ... + 41529341.

It is an arithmetic number, because the mean of its divisors is an integer number (3298019816).

Almost surely, 2229683491856 is an apocalyptic number.

229683491856 is a gapful number since it is divisible by the number (26) 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 229683491856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395762377920).

229683491856 is an abundant number, since it is smaller than the sum of its proper divisors (561841263984).

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

229683491856 is a wasteful number, since it uses less digits than its factorization.

229683491856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8725 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 229683491856 in words is "two hundred twenty-nine billion, six hundred eighty-three million, four hundred ninety-one thousand, eight hundred fifty-six".