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202303312 = 2413739209
BaseRepresentation
bin11000000111011…
…10011101010000
3112002200001222021
430003232131100
5403242201222
632024021224
75004356401
oct1403563520
9462601867
10202303312
11a4216522
1257901814
1332bb2803
141cc219a8
1512b61ac7
hexc0ee750

202303312 has 20 divisors (see below), whose sum is σ = 392290740. Its totient is φ = 101067008.

The previous prime is 202303301. The next prime is 202303337. The reversal of 202303312 is 213303202.

It can be written as a sum of positive squares in 2 ways, for example, as 130325056 + 71978256 = 11416^2 + 8484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 3 ways as a sum of consecutive naturals, for example, 17364 + ... + 26572.

It is an arithmetic number, because the mean of its divisors is an integer number (19614537).

Almost surely, 2202303312 is an apocalyptic number.

It is an amenable number.

202303312 is a deficient number, since it is larger than the sum of its proper divisors (189987428).

202303312 is a wasteful number, since it uses less digits than its factorization.

202303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 202303312 is about 14223.3368799308. The cubic root of 202303312 is about 587.0399592806.

Adding to 202303312 its reverse (213303202), we get a palindrome (415606514).

The spelling of 202303312 in words is "two hundred two million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 1373 2746 5492 9209 10984 18418 21968 36836 73672 147344 12643957 25287914 50575828 101151656 202303312