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203322042 = 233711107457
BaseRepresentation
bin11000001111001…
…11001010111010
3112011120211102000
430013213022322
5404022301132
632101521430
75016131430
oct1407471272
9464524360
10203322042
11a4851950
1258113276
133317b401
141d008d50
1512cb387c
hexc1e72ba

203322042 has 128 divisors (see below), whose sum is σ = 569825280. Its totient is φ = 52202880.

The previous prime is 203322011. The next prime is 203322043. The reversal of 203322042 is 240223302.

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

It is not an unprimeable number, because it can be changed into a prime (203322043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444678 + ... + 445134.

It is an arithmetic number, because the mean of its divisors is an integer number (4451760).

Almost surely, 2203322042 is an apocalyptic number.

203322042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203322042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284912640).

203322042 is an abundant number, since it is smaller than the sum of its proper divisors (366503238).

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

203322042 is a wasteful number, since it uses less digits than its factorization.

203322042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 203322042 is about 14259.1038287825. The cubic root of 203322042 is about 588.0236870924.

Adding to 203322042 its reverse (240223302), we get a palindrome (443545344).

The spelling of 203322042 in words is "two hundred three million, three hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 107 126 154 189 198 214 231 297 321 378 457 462 594 642 693 749 914 963 1177 1371 1386 1498 1926 2079 2247 2354 2742 2889 3199 3531 4113 4158 4494 5027 5778 6398 6741 7062 8226 8239 9597 10054 10593 12339 13482 15081 16478 19194 20223 21186 24678 24717 28791 30162 31779 35189 40446 45243 48899 49434 57582 63558 70378 74151 86373 90486 97798 105567 135729 146697 148302 172746 211134 222453 271458 293394 316701 342293 440091 444906 537889 633402 684586 880182 950103 1026879 1075778 1320273 1613667 1900206 2053758 2640546 3080637 3227334 3765223 4841001 6161274 7530446 9241911 9682002 11295669 14523003 18483822 22591338 29046006 33887007 67774014 101661021 203322042