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203994252 = 2232721110513
BaseRepresentation
bin11000010100010…
…11010010001100
3112012211222111200
430022023102030
5404210304002
632124145500
75024631300
oct1412132214
9465758450
10203994252
11a51709a0
1258398290
1333355377
141d141d00
1512d97b1c
hexc28b48c

203994252 has 108 divisors (see below), whose sum is σ = 654433416. Its totient is φ = 52980480.

The previous prime is 203994251. The next prime is 203994253. The reversal of 203994252 is 252499302.

It is an interprime number because it is at equal distance from previous prime (203994251) and next prime (203994253).

It is a super-2 number, since 2×2039942522 = 83227309698079008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (203994251) 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 35 ways as a sum of consecutive naturals, for example, 14148 + ... + 24660.

Almost surely, 2203994252 is an apocalyptic number.

203994252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203994252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327216708).

203994252 is an abundant number, since it is smaller than the sum of its proper divisors (450439164).

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

203994252 is a wasteful number, since it uses less digits than its factorization.

203994252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 203994252 is about 14282.6556354202. The cubic root of 203994252 is about 588.6710026941.

The spelling of 203994252 in words is "two hundred three million, nine hundred ninety-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 10513 19404 21026 31539 42052 63078 73591 94617 115643 126156 147182 189234 220773 231286 294364 346929 378468 441546 462572 515137 662319 693858 809501 883092 1030274 1040787 1324638 1387716 1545411 1619002 2060548 2081574 2428503 2649276 3090822 3238004 4163148 4636233 4857006 5666507 6181644 7285509 9272466 9714012 11333014 14571018 16999521 18544932 22666028 29142036 33999042 50998563 67998084 101997126 203994252