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205233150 = 23523473943
BaseRepresentation
bin11000011101110…
…01101111111110
3112022011220221210
430032321233332
5410014430100
632210505250
75041311243
oct1416715776
9468156853
10205233150
11a5937781
1258895226
133369a245
141d3855ca
151303ec50
hexc3b9bfe

205233150 has 48 divisors (see below), whose sum is σ = 510574464. Its totient is φ = 54557280.

The previous prime is 205233131. The next prime is 205233181. The reversal of 205233150 is 51332502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50079 + ... + 54021.

It is an arithmetic number, because the mean of its divisors is an integer number (10636968).

Almost surely, 2205233150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205233150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255287232).

205233150 is an abundant number, since it is smaller than the sum of its proper divisors (305341314).

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

205233150 is a wasteful number, since it uses less digits than its factorization.

205233150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 205233150 is about 14325.9607007698. The cubic root of 205233150 is about 589.8603039943.

Adding to 205233150 its reverse (51332502), we get a palindrome (256565652).

The spelling of 205233150 in words is "two hundred five million, two hundred thirty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 347 694 1041 1735 2082 3470 3943 5205 7886 8675 10410 11829 17350 19715 23658 26025 39430 52050 59145 98575 118290 197150 295725 591450 1368221 2736442 4104663 6841105 8209326 13682210 20523315 34205525 41046630 68411050 102616575 205233150