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122313344 = 271915003
BaseRepresentation
bin1110100101001…
…01101010000000
322112011011100212
413102211222000
5222303011334
620045333252
73013434446
oct722455200
9275134325
10122313344
116305190a
1234b67228
131c456b7a
141235cb96
15ab10ece
hex74a5a80

122313344 has 32 divisors (see below), whose sum is σ = 244995840. Its totient is φ = 60824320.

The previous prime is 122313343. The next prime is 122313349. The reversal of 122313344 is 443313221.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (122313341) 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 3 ways as a sum of consecutive naturals, for example, 21947 + ... + 26949.

It is an arithmetic number, because the mean of its divisors is an integer number (7656120).

Almost surely, 2122313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122497920).

122313344 is an abundant number, since it is smaller than the sum of its proper divisors (122682496).

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

122313344 is an equidigital number, since it uses as much as digits as its factorization.

122313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5196 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 122313344 is about 11059.5363374782. The cubic root of 122313344 is about 496.3918166591.

Adding to 122313344 its reverse (443313221), we get a palindrome (565626565).

The spelling of 122313344 in words is "one hundred twenty-two million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1528 3056 5003 6112 10006 12224 20012 24448 40024 80048 160096 320192 640384 955573 1911146 3822292 7644584 15289168 30578336 61156672 122313344