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122697666 = 23472132941
BaseRepresentation
bin1110101000000…
…11011111000010
322112212200120000
413110003133002
5222402311131
620101500430
73016625100
oct724033702
9275780500
10122697666
1163294633
1235111716
131c55ca90
141241cc70
15ab89ce6
hex75037c2

122697666 has 240 divisors, whose sum is σ = 364989240. Its totient is φ = 30481920.

The previous prime is 122697643. The next prime is 122697691. The reversal of 122697666 is 666796221.

It can be written as a sum of positive squares in 4 ways, for example, as 52490025 + 70207641 = 7245^2 + 8379^2 .

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 119 ways as a sum of consecutive naturals, for example, 2992606 + ... + 2992646.

Almost surely, 2122697666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122697666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182494620).

122697666 is an abundant number, since it is smaller than the sum of its proper divisors (242291574).

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

122697666 is a wasteful number, since it uses less digits than its factorization.

122697666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 122697666 is about 11076.8978509328. The cubic root of 122697666 is about 496.9111789961.

The spelling of 122697666 in words is "one hundred twenty-two million, six hundred ninety-seven thousand, six hundred sixty-six".