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122209668 = 223371737257
BaseRepresentation
bin1110100100011…
…00010110000100
322111221220011000
413102030112010
5222241202133
620043213300
73012523260
oct722142604
9274856130
10122209668
1162a90a29
1234b17230
131c41b919
14123330a0
15aae0413
hex748c584

122209668 has 192 divisors, whose sum is σ = 395297280. Its totient is φ = 31850496.

The previous prime is 122209559. The next prime is 122209669. The reversal of 122209668 is 866902221.

It is a happy number.

122209668 is digitally balanced in base 9, 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).

122209668 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (122209669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475396 + ... + 475652.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 2122209668 is an apocalyptic number.

122209668 is a gapful number since it is divisible by the number (18) 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 122209668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197648640).

122209668 is an abundant number, since it is smaller than the sum of its proper divisors (273087612).

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

122209668 is a wasteful number, since it uses less digits than its factorization.

122209668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 122209668 is about 11054.8481672070. The cubic root of 122209668 is about 496.2515254370.

The spelling of 122209668 in words is "one hundred twenty-two million, two hundred nine thousand, six hundred sixty-eight".