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122693816 = 23719111471
BaseRepresentation
bin1110101000000…
…10100010111000
322112212111021102
413110002202320
5222402200231
620101430532
73016610630
oct724024270
9275774242
10122693816
1163291753
123510b448
131c55b0bb
141241b6c0
15ab88acb
hex75028b8

122693816 has 32 divisors (see below), whose sum is σ = 264314880. Its totient is φ = 52303200.

The previous prime is 122693783. The next prime is 122693821. The reversal of 122693816 is 618396221.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 122693816.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4961 + ... + 16431.

It is an arithmetic number, because the mean of its divisors is an integer number (8259840).

Almost surely, 2122693816 is an apocalyptic number.

It is an amenable number.

122693816 is an abundant number, since it is smaller than the sum of its proper divisors (141621064).

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

122693816 is a wasteful number, since it uses less digits than its factorization.

122693816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11671 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 122693816 is about 11076.7240644515. The cubic root of 122693816 is about 496.9059815920.

The spelling of 122693816 in words is "one hundred twenty-two million, six hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 191 382 764 1337 1528 2674 5348 10696 11471 22942 45884 80297 91768 160594 321188 642376 2190961 4381922 8763844 15336727 17527688 30673454 61346908 122693816