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203255052 = 2237111316921
BaseRepresentation
bin11000001110101…
…10110100001100
3112011110102111220
430013112310030
5404013130202
632100243340
75015432220
oct1407266414
9464412456
10203255052
11a4806590
12580a0550
1333156a80
141cdcc780
1512c9dabc
hexc1d6d0c

203255052 has 96 divisors (see below), whose sum is σ = 636808704. Its totient is φ = 48729600.

The previous prime is 203255051. The next prime is 203255057. The reversal of 203255052 is 250552302.

It is not an unprimeable number, because it can be changed into a prime (203255051) 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, 3552 + ... + 20472.

It is an arithmetic number, because the mean of its divisors is an integer number (6633424).

Almost surely, 2203255052 is an apocalyptic number.

203255052 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 203255052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318404352).

203255052 is an abundant number, since it is smaller than the sum of its proper divisors (433553652).

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

203255052 is a wasteful number, since it uses less digits than its factorization.

203255052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16959 (or 16957 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 203255052 is about 14256.7546096578. The cubic root of 203255052 is about 587.9590998438.

It can be divided in two parts, 203 and 255052, that added together give a triangular number (255255 = T714).

The spelling of 203255052 in words is "two hundred three million, two hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 16921 33842 50763 67684 101526 118447 186131 203052 219973 236894 355341 372262 439946 473788 558393 659919 710682 744524 879892 1116786 1302917 1319838 1421364 1539811 2233572 2419703 2605834 2639676 3079622 3908751 4619433 4839406 5211668 6159244 7259109 7817502 9238866 9678812 14518218 15635004 16937921 18477732 29036436 33875842 50813763 67751684 101627526 203255052