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506233300 = 22529752189
BaseRepresentation
bin11110001011001…
…000000111010100
31022021120022112111
4132023020013110
52014043431200
6122122200404
715354624556
oct3613100724
91267508474
10506233300
1123a834631
12121653104
1380b58341
144b3394d6
152e69a0ba
hex1e2c81d4

506233300 has 36 divisors (see below), whose sum is σ = 1109872540. Its totient is φ = 200401920.

The previous prime is 506233291. The next prime is 506233313. The reversal of 506233300 is 3332605.

It can be written as a sum of positive squares in 6 ways, for example, as 133125444 + 373107856 = 11538^2 + 19316^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16395 + ... + 35794.

Almost surely, 2506233300 is an apocalyptic number.

506233300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506233300 is an abundant number, since it is smaller than the sum of its proper divisors (603639240).

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

506233300 is a wasteful number, since it uses less digits than its factorization.

506233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52300 (or 52293 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 506233300 is about 22499.6288858283. The cubic root of 506233300 is about 796.9851631372.

Adding to 506233300 its reverse (3332605), we get a palindrome (509565905).

The spelling of 506233300 in words is "five hundred six million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 52189 104378 208756 260945 521890 1043780 1304725 2609450 5062333 5218900 10124666 20249332 25311665 50623330 101246660 126558325 253116650 506233300