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414311202 = 23223017289
BaseRepresentation
bin11000101100011…
…110001100100010
31001212121012010100
4120230132030202
51322030424302
6105040043230
713160405244
oct3054361442
91055535110
10414311202
111a2960158
12b6903516
1367ab2576
143d04c094
152658dd1c
hex18b1e322

414311202 has 12 divisors (see below), whose sum is σ = 897674310. Its totient is φ = 138103728.

The previous prime is 414311189. The next prime is 414311203. The reversal of 414311202 is 202113414.

It can be written as a sum of positive squares in only one way, i.e., 343397961 + 70913241 = 18531^2 + 8421^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23017289 = 414311202 / (4 + 1 + 4 + 3 + 1 + 1 + 2 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (414311203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11508627 + ... + 11508662.

Almost surely, 2414311202 is an apocalyptic number.

414311202 is an abundant number, since it is smaller than the sum of its proper divisors (483363108).

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

414311202 is a wasteful number, since it uses less digits than its factorization.

414311202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23017297 (or 23017294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414311202 is about 20354.6358847315. The cubic root of 414311202 is about 745.4906918559.

Adding to 414311202 its reverse (202113414), we get a palindrome (616424616).

The spelling of 414311202 in words is "four hundred fourteen million, three hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23017289 46034578 69051867 138103734 207155601 414311202