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203412552 = 23372361863
BaseRepresentation
bin11000001111111…
…01010001001000
3112011202102120020
430013331101020
5404033200202
632103500440
75016656340
oct1407752110
9464672506
10203412552
11a4903952
1258157720
13331b0675
141d02dd20
1512cd05bc
hexc1fd448

203412552 has 128 divisors (see below), whose sum is σ = 617103360. Its totient is φ = 54616320.

The previous prime is 203412551. The next prime is 203412563. The reversal of 203412552 is 255214302.

203412552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2034125522 = 82753332622305408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (203412551) 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 31 ways as a sum of consecutive naturals, for example, 235273 + ... + 236135.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2203412552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203412552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

203412552 is an abundant number, since it is smaller than the sum of its proper divisors (413690808).

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

203412552 is a wasteful number, since it uses less digits than its factorization.

203412552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 203412552 is about 14262.2772375242. The cubic root of 203412552 is about 588.1109282133.

Adding to 203412552 its reverse (255214302), we get a palindrome (458626854).

The spelling of 203412552 in words is "two hundred three million, four hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 61 69 84 92 122 138 161 168 183 184 244 276 322 366 427 483 488 552 644 732 854 863 966 1281 1288 1403 1464 1708 1726 1932 2562 2589 2806 3416 3452 3864 4209 5124 5178 5612 6041 6904 8418 9821 10248 10356 11224 12082 16836 18123 19642 19849 20712 24164 29463 33672 36246 39284 39698 48328 52643 58926 59547 72492 78568 79396 105286 117852 119094 138943 144984 157929 158792 210572 235704 238188 277886 315858 368501 416829 421144 476376 555772 631716 737002 833658 1105503 1111544 1210789 1263432 1474004 1667316 2211006 2421578 2948008 3334632 3632367 4422012 4843156 7264734 8475523 8844024 9686312 14529468 16951046 25426569 29058936 33902092 50853138 67804184 101706276 203412552