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206426512 = 24172572953
BaseRepresentation
bin11000100110111…
…01000110010000
3112101102112221101
430103131012100
5410321122022
632252234144
75054411365
oct1423350620
9471375841
10206426512
11a6582326
125916b954
13339c7486
141d5b646c
15131c8627
hexc4dd190

206426512 has 40 divisors (see below), whose sum is σ = 425269656. Its totient is φ = 96731136.

The previous prime is 206426503. The next prime is 206426533. The reversal of 206426512 is 215624602.

It can be written as a sum of positive squares in 4 ways, for example, as 153660816 + 52765696 = 12396^2 + 7264^2 .

It is a super-2 number, since 2×2064265122 = 85223809712972288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68428 + ... + 71380.

Almost surely, 2206426512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206426512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212634828).

206426512 is an abundant number, since it is smaller than the sum of its proper divisors (218843144).

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

206426512 is a wasteful number, since it uses less digits than its factorization.

206426512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 206426512 is about 14367.5506611252. The cubic root of 206426512 is about 591.0013752028.

The spelling of 206426512 in words is "two hundred six million, four hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 257 272 514 1028 2056 2953 4112 4369 5906 8738 11812 17476 23624 34952 47248 50201 69904 100402 200804 401608 758921 803216 1517842 3035684 6071368 12142736 12901657 25803314 51606628 103213256 206426512