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122166340 = 22523265579
BaseRepresentation
bin1110100100000…
…01110001000100
322111212200201021
413102001301010
5222233310330
620042240524
73012253042
oct722016104
9274780637
10122166340
1162a6141a
1234ab6144
131c404c9a
1412321392
15aad267a
hex7481c44

122166340 has 24 divisors (see below), whose sum is σ = 267704640. Its totient is φ = 46741728.

The previous prime is 122166337. The next prime is 122166349. The reversal of 122166340 is 43661221.

It is a super-2 number, since 2×1221663402 = 29849229257991200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122166349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132330 + ... + 133249.

It is an arithmetic number, because the mean of its divisors is an integer number (11154360).

Almost surely, 2122166340 is an apocalyptic number.

122166340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122166340 is an abundant number, since it is smaller than the sum of its proper divisors (145538300).

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

122166340 is a wasteful number, since it uses less digits than its factorization.

122166340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265611 (or 265609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 122166340 is about 11052.8883103015. Note that the first 3 decimals coincide. The cubic root of 122166340 is about 496.1928717914.

The spelling of 122166340 in words is "one hundred twenty-two million, one hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 265579 531158 1062316 1327895 2655790 5311580 6108317 12216634 24433268 30541585 61083170 122166340