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235109007 = 337353479
BaseRepresentation
bin11100000001101…
…11101010001111
3121101101202221000
432000313222033
5440141442012
635155111343
75553252000
oct1600675217
9541352830
10235109007
11110792971
12668a2553
133992a873
14233211a7
1515991ddc
hexe037a8f

235109007 has 64 divisors (see below), whose sum is σ = 414720000. Its totient is φ = 131537952.

The previous prime is 235108999. The next prime is 235109009. The reversal of 235109007 is 700901532.

It is not a de Polignac number, because 235109007 - 23 = 235108999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235109009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490594 + ... + 491072.

It is an arithmetic number, because the mean of its divisors is an integer number (6480000).

Almost surely, 2235109007 is an apocalyptic number.

235109007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

235109007 is a deficient number, since it is larger than the sum of its proper divisors (179610993).

235109007 is an equidigital number, since it uses as much as digits as its factorization.

235109007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 235109007 is about 15333.2647208610. The cubic root of 235109007 is about 617.1959805323.

The spelling of 235109007 in words is "two hundred thirty-five million, one hundred nine thousand, seven".

Divisors: 1 3 7 9 21 27 49 53 63 147 159 189 343 371 441 477 479 1029 1113 1323 1431 1437 2597 3087 3339 3353 4311 7791 9261 10017 10059 12933 18179 23373 23471 25387 30177 54537 70119 70413 76161 90531 163611 164297 177709 211239 228483 490833 492891 533127 633717 685449 1243963 1478673 1599381 3731889 4436019 4798143 8707741 11195667 26123223 33587001 78369669 235109007