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122330144 = 258942953
BaseRepresentation
bin1110100101010…
…01110000100000
322112012000102002
413102221300200
5222304031034
620045543132
73013534436
oct722516040
9275160362
10122330144
11630634a2
1234b74aa8
131c461701
1412364d56
15ab15e7e
hex74a9c20

122330144 has 24 divisors (see below), whose sum is σ = 243549180. Its totient is φ = 60476416.

The previous prime is 122330129. The next prime is 122330167. The reversal of 122330144 is 441033221.

It can be written as a sum of positive squares in 2 ways, for example, as 100240144 + 22090000 = 10012^2 + 4700^2 .

It is an unprimeable number.

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, 18629 + ... + 24324.

Almost surely, 2122330144 is an apocalyptic number.

It is an amenable number.

122330144 is a deficient number, since it is larger than the sum of its proper divisors (121219036).

122330144 is an equidigital number, since it uses as much as digits as its factorization.

122330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43052 (or 43044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 122330144 is about 11060.2958369114. The cubic root of 122330144 is about 496.4145424454.

Adding to 122330144 its reverse (441033221), we get a palindrome (563363365).

The spelling of 122330144 in words is "one hundred twenty-two million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 89 178 356 712 1424 2848 42953 85906 171812 343624 687248 1374496 3822817 7645634 15291268 30582536 61165072 122330144