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122322016 = 256615783
BaseRepresentation
bin1110100101001…
…11110001100000
322112011121021001
413102213301200
5222303301031
620045441344
73013501645
oct722476140
9275147231
10122322016
1163058383
1234b70254
131c45aabb
1412361dcc
15ab13861
hex74a7c60

122322016 has 24 divisors (see below), whose sum is σ = 241227504. Its totient is φ = 61057920.

The previous prime is 122322007. The next prime is 122322017. The reversal of 122322016 is 610223221.

It is a junction number, because it is equal to n+sod(n) for n = 122321984 and 122322002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322017) by changing a digit.

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, 18261 + ... + 24043.

It is an arithmetic number, because the mean of its divisors is an integer number (10051146).

Almost surely, 2122322016 is an apocalyptic number.

122322016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122322016 is a deficient number, since it is larger than the sum of its proper divisors (118905488).

122322016 is an equidigital number, since it uses as much as digits as its factorization.

122322016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 122322016 is about 11059.9283903649. The cubic root of 122322016 is about 496.4035477534.

Adding to 122322016 its reverse (610223221), we get a palindrome (732545237).

It can be divided in two parts, 1223220 and 16, that added together give a square (1223236 = 11062).

The spelling of 122322016 in words is "one hundred twenty-two million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 661 1322 2644 5288 5783 10576 11566 21152 23132 46264 92528 185056 3822563 7645126 15290252 30580504 61161008 122322016