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204052014 = 2335383859
BaseRepresentation
bin11000010100110…
…01011000101110
3112012221220202000
430022121120232
5404214131024
632125313130
75025261555
oct1412313056
9465856660
10204052014
11a5200331
12584057a6
133337574a
141d158d9c
1512da9cc9
hexc29962e

204052014 has 64 divisors (see below), whose sum is σ = 468115200. Its totient is φ = 65853216.

The previous prime is 204051977. The next prime is 204052027. The reversal of 204052014 is 410250402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237117 + ... + 237975.

It is an arithmetic number, because the mean of its divisors is an integer number (7314300).

Almost surely, 2204052014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204052014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234057600).

204052014 is an abundant number, since it is smaller than the sum of its proper divisors (264063186).

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

204052014 is a wasteful number, since it uses less digits than its factorization.

204052014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204052014 is about 14284.6775952417. The cubic root of 204052014 is about 588.7265591706.

The spelling of 204052014 in words is "two hundred four million, fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 83 106 159 166 249 318 477 498 747 859 954 1431 1494 1718 2241 2577 2862 4399 4482 5154 7731 8798 13197 15462 23193 26394 39591 45527 46386 71297 79182 91054 118773 136581 142594 213891 237546 273162 409743 427782 641673 819486 1229229 1283346 1925019 2458458 3778741 3850038 7557482 11336223 22672446 34008669 68017338 102026007 204052014