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203084322 = 23721315273
BaseRepresentation
bin11000001101011…
…01001000100010
3112011010202022120
430012231020202
5403442144242
632052445110
75014121400
oct1406551042
9464122276
10203084322
11a46aa291
1258019796
13330c714c
141cd86470
1512c681ec
hexc1ad222

203084322 has 48 divisors (see below), whose sum is σ = 476178912. Its totient is φ = 57570240.

The previous prime is 203084309. The next prime is 203084327. The reversal of 203084322 is 223480302.

203084322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 203084292 and 203084301.

It is not an unprimeable number, because it can be changed into a prime (203084327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35878 + ... + 41150.

It is an arithmetic number, because the mean of its divisors is an integer number (9920394).

Almost surely, 2203084322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203084322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238089456).

203084322 is an abundant number, since it is smaller than the sum of its proper divisors (273094590).

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

203084322 is a wasteful number, since it uses less digits than its factorization.

203084322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 203084322 is about 14250.7656636407. The cubic root of 203084322 is about 587.7944292726.

The spelling of 203084322 in words is "two hundred three million, eighty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 131 147 262 294 393 786 917 1834 2751 5273 5502 6419 10546 12838 15819 19257 31638 36911 38514 73822 110733 221466 258377 516754 690763 775131 1381526 1550262 2072289 4144578 4835341 9670682 14506023 29012046 33847387 67694774 101542161 203084322