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122342985 = 32512772129
BaseRepresentation
bin1110100101011…
…00111001001001
322112012200000200
413102230321021
5222304433420
620050122413
73013620042
oct722547111
9275180020
10122342985
1163072106
1234b80409
131c4674cb
14123698c9
15ab19b90
hex74ace49

122342985 has 24 divisors (see below), whose sum is σ = 212326920. Its totient is φ = 65167872.

The previous prime is 122342981. The next prime is 122342993. The reversal of 122342985 is 589243221.

It is a happy number.

122342985 is a `hidden beast` number, since 1 + 223 + 429 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 113486409 = 2976^2 + 10653^2 .

It is not a de Polignac number, because 122342985 - 22 = 122342981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122342981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56401 + ... + 58529.

It is an arithmetic number, because the mean of its divisors is an integer number (8846955).

Almost surely, 2122342985 is an apocalyptic number.

122342985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122342985 is a deficient number, since it is larger than the sum of its proper divisors (89983935).

122342985 is a wasteful number, since it uses less digits than its factorization.

122342985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3414 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 122342985 is about 11060.8763215217. The cubic root of 122342985 is about 496.4319113890.

The spelling of 122342985 in words is "one hundred twenty-two million, three hundred forty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 1277 2129 3831 6385 6387 10645 11493 19155 19161 31935 57465 95805 2718733 8156199 13593665 24468597 40780995 122342985