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238073085 = 32553173577
BaseRepresentation
bin11100011000010…
…11010011111101
3121120222100212200
432030023103331
5441421314320
635342422113
75620405425
oct1614132375
9546870780
10238073085
11112427918
1267891939
133a427a63
1423893485
1515d7a290
hexe30b4fd

238073085 has 48 divisors (see below), whose sum is σ = 423609264. Its totient is φ = 123641856.

The previous prime is 238073081. The next prime is 238073107. The reversal of 238073085 is 580370832.

It can be written as a sum of positive squares in 8 ways, for example, as 83667609 + 154405476 = 9147^2 + 12426^2 .

It is not a de Polignac number, because 238073085 - 22 = 238073081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238073081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412317 + ... + 412893.

It is an arithmetic number, because the mean of its divisors is an integer number (8825193).

Almost surely, 2238073085 is an apocalyptic number.

It is an amenable number.

238073085 is a deficient number, since it is larger than the sum of its proper divisors (185536179).

238073085 is a wasteful number, since it uses less digits than its factorization.

238073085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 238073085 is about 15429.6171371813. The cubic root of 238073085 is about 619.7788710202.

The spelling of 238073085 in words is "two hundred thirty-eight million, seventy-three thousand, eighty-five".

Divisors: 1 3 5 9 15 45 53 159 173 265 477 519 577 795 865 1557 1731 2385 2595 2885 5193 7785 8655 9169 25965 27507 30581 45845 82521 91743 99821 137535 152905 275229 299463 412605 458715 499105 898389 1376145 1497315 4491945 5290513 15871539 26452565 47614617 79357695 238073085