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1068221952 = 2933721983
BaseRepresentation
bin111111101010111…
…100011000000000
32202110001022001000
4333222330120000
54141431100302
6253555412000
735320510500
oct7752743000
92673038030
101068221952
114a8a8aa66
122598b4000
131404055c5
14a1c29a00
1563baa31c
hex3fabc600

1068221952 has 480 divisors, whose sum is σ = 3918499200. Its totient is φ = 285659136.

The previous prime is 1068221941. The next prime is 1068222011. The reversal of 1068221952 is 2591228601.

1068221952 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 2×10682219522 = 2282196277469380608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12870103 + ... + 12870185.

It is an arithmetic number, because the mean of its divisors is an integer number (8163540).

Almost surely, 21068221952 is an apocalyptic number.

1068221952 is a gapful number since it is divisible by the number (12) 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 1068221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959249600).

1068221952 is an abundant number, since it is smaller than the sum of its proper divisors (2850277248).

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

1068221952 is an equidigital number, since it uses as much as digits as its factorization.

1068221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1068221952 is about 32683.6649107777. The cubic root of 1068221952 is about 1022.2422644534.

The spelling of 1068221952 in words is "one billion, sixty-eight million, two hundred twenty-one thousand, nine hundred fifty-two".