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122441664 = 263637717
BaseRepresentation
bin1110100110001…
…00111111000000
322112101200101110
413103010333000
5222321113124
620052203320
73014510532
oct723047700
9275350343
10122441664
116312a264
1235009540
131c4a03b7
1412393852
15ab39029
hex74c4fc0

122441664 has 28 divisors (see below), whose sum is σ = 323960744. Its totient is φ = 40813824.

The previous prime is 122441663. The next prime is 122441699. The reversal of 122441664 is 466144221.

It is a happy number.

It is a super-2 number, since 2×1224416642 = 29983922166177792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122441663) 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, 318667 + ... + 319050.

Almost surely, 2122441664 is an apocalyptic number.

It is an amenable number.

122441664 is an abundant number, since it is smaller than the sum of its proper divisors (201519080).

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

122441664 is an equidigital number, since it uses as much as digits as its factorization.

122441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637732 (or 637722 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 122441664 is about 11065.3361449167. The cubic root of 122441664 is about 496.5653456566.

Adding to 122441664 its reverse (466144221), we get a palindrome (588585885).

The spelling of 122441664 in words is "one hundred twenty-two million, four hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 637717 1275434 1913151 2550868 3826302 5101736 7652604 10203472 15305208 20406944 30610416 40813888 61220832 122441664