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122669316 = 22357112149
BaseRepresentation
bin1110100111111…
…00100100000100
322112211020200000
413103330210010
5222400404231
620101121300
73016446330
oct723744404
9275736600
10122669316
1163275300
12350b9230
131c54cbc3
14124127c0
15ab816e6
hex74fc904

122669316 has 216 divisors, whose sum is σ = 406660800. Its totient is φ = 31648320.

The previous prime is 122669303. The next prime is 122669321. The reversal of 122669316 is 613966221.

It is a happy number.

It is a super-2 number, since 2×1226693162 = 30095522175815712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 823210 + ... + 823358.

Almost surely, 2122669316 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 122669316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203330400).

122669316 is an abundant number, since it is smaller than the sum of its proper divisors (283991484).

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

122669316 is a wasteful number, since it uses less digits than its factorization.

122669316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 122669316 is about 11075.6180865900. The cubic root of 122669316 is about 496.8729046547.

The spelling of 122669316 in words is "one hundred twenty-two million, six hundred sixty-nine thousand, three hundred sixteen".