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122338848 = 2531274363
BaseRepresentation
bin1110100101010…
…11111000100000
322112012110100110
413102223320200
5222304320343
620050051320
73013602012
oct722537040
9275173313
10122338848
1163069a95
1234b79b40
131c465668
14123681b2
15ab18833
hex74abe20

122338848 has 24 divisors (see below), whose sum is σ = 321139728. Its totient is φ = 40779584.

The previous prime is 122338837. The next prime is 122338871. The reversal of 122338848 is 848833221.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1223388483 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 637086 + ... + 637277.

It is an arithmetic number, because the mean of its divisors is an integer number (13380822).

Almost surely, 2122338848 is an apocalyptic number.

It is an amenable number.

122338848 is an abundant number, since it is smaller than the sum of its proper divisors (198800880).

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

122338848 is a wasteful number, since it uses less digits than its factorization.

122338848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274376 (or 1274368 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 122338848 is about 11060.6893094418. The cubic root of 122338848 is about 496.4263157488.

The spelling of 122338848 in words is "one hundred twenty-two million, three hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1274363 2548726 3823089 5097452 7646178 10194904 15292356 20389808 30584712 40779616 61169424 122338848