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122165340 = 223511185099
BaseRepresentation
bin1110100100000…
…01100001011100
322111212122100020
413102001201130
5222233242330
620042232140
73012250113
oct722014134
9274778306
10122165340
1162a606a0
1234ab5650
131c4046ab
1412320c7a
15aad2210
hex748185c

122165340 has 48 divisors (see below), whose sum is σ = 373161600. Its totient is φ = 29615680.

The previous prime is 122165299. The next prime is 122165353. The reversal of 122165340 is 43561221.

It is a self number, because there is not a number n which added to its sum of digits gives 122165340.

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 15 ways as a sum of consecutive naturals, for example, 91890 + ... + 93209.

It is an arithmetic number, because the mean of its divisors is an integer number (7774200).

Almost surely, 2122165340 is an apocalyptic number.

122165340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122165340 is an abundant number, since it is smaller than the sum of its proper divisors (250996260).

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

122165340 is a wasteful number, since it uses less digits than its factorization.

122165340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185122 (or 185120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 122165340 is about 11052.8430731645. The cubic root of 122165340 is about 496.1915179154.

The spelling of 122165340 in words is "one hundred twenty-two million, one hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 185099 370198 555297 740396 925495 1110594 1850990 2036089 2221188 2776485 3701980 4072178 5552970 6108267 8144356 10180445 11105940 12216534 20360890 24433068 30541335 40721780 61082670 122165340