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122286330 = 23252946853
BaseRepresentation
bin1110100100111…
…11000011111010
322112002210022100
413102133003322
5222301130310
620045004230
73013262625
oct722370372
9275083270
10122286330
1163033591
1234b53676
131c44779a
1412352dbc
15ab07ec0
hex749f0fa

122286330 has 48 divisors (see below), whose sum is σ = 328915080. Its totient is φ = 31484544.

The previous prime is 122286319. The next prime is 122286343. The reversal of 122286330 is 33682221.

122286330 is a `hidden beast` number, since 1 + 2 + 2 + 28 + 633 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91183401 + 31102929 = 9549^2 + 5577^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122286294 and 122286303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20817 + ... + 26036.

Almost surely, 2122286330 is an apocalyptic number.

122286330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122286330 is an abundant number, since it is smaller than the sum of its proper divisors (206628750).

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

122286330 is a wasteful number, since it uses less digits than its factorization.

122286330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46895 (or 46892 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 122286330 is about 11058.3149710975. The cubic root of 122286330 is about 496.3552697722.

The spelling of 122286330 in words is "one hundred twenty-two million, two hundred eighty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 46853 93706 140559 234265 281118 421677 468530 702795 843354 1358737 1405590 2108385 2717474 4076211 4216770 6793685 8152422 12228633 13587370 20381055 24457266 40762110 61143165 122286330