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122170816 = 264146559
BaseRepresentation
bin1110100100000…
…10110111000000
322111212220212001
413102002313000
5222233431231
620042313344
73012302065
oct722026700
9274786761
10122170816
1162a64819
1234ab8854
131c407031
1412322c6c
15aad3b61
hex7482dc0

122170816 has 28 divisors (see below), whose sum is σ = 248351040. Its totient is φ = 59594240.

The previous prime is 122170801. The next prime is 122170819. The reversal of 122170816 is 618071221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122170819) by changing a digit.

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, 20656 + ... + 25903.

It is an arithmetic number, because the mean of its divisors is an integer number (8869680).

Almost surely, 2122170816 is an apocalyptic number.

122170816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122170816 is an abundant number, since it is smaller than the sum of its proper divisors (126180224).

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

122170816 is an equidigital number, since it uses as much as digits as its factorization.

122170816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46612 (or 46602 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 122170816 is about 11053.0907894579. The cubic root of 122170816 is about 496.1989316499.

The spelling of 122170816 in words is "one hundred twenty-two million, one hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 46559 93118 186236 372472 744944 1489888 1908919 2979776 3817838 7635676 15271352 30542704 61085408 122170816