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122214016 = 275916183
BaseRepresentation
bin1110100100011…
…01011010000000
322111222010010001
413102031122000
5222241322031
620043245344
73012542041
oct722153200
9274863101
10122214016
1162a94221
1234b19854
131c4208b2
14123348c8
15aae1861
hex748d680

122214016 has 32 divisors (see below), whose sum is σ = 247615200. Its totient is φ = 60067584.

The previous prime is 122214013. The next prime is 122214031. The reversal of 122214016 is 610412221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122213984 and 122214002.

It is not an unprimeable number, because it can be changed into a prime (122214013) 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, 540 + ... + 15643.

It is an arithmetic number, because the mean of its divisors is an integer number (7737975).

Almost surely, 2122214016 is an apocalyptic number.

122214016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122214016 is an abundant number, since it is smaller than the sum of its proper divisors (125401184).

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

122214016 is an equidigital number, since it uses as much as digits as its factorization.

122214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16256 (or 16244 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 122214016 is about 11055.0448212569. The cubic root of 122214016 is about 496.2574106125.

Adding to 122214016 its reverse (610412221), we get a palindrome (732626237).

The spelling of 122214016 in words is "one hundred twenty-two million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 7552 16183 32366 64732 129464 258928 517856 954797 1035712 1909594 2071424 3819188 7638376 15276752 30553504 61107008 122214016