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285196900 = 225231197467
BaseRepresentation
bin10000111111111…
…100001001100100
3201212122111121011
4100333330021210
51041002300100
644144432004
710032063562
oct2077741144
9655574534
10285196900
11136a9371a
127b618604
1347116c81
1429c3ca32
151a087bba
hex10ffc264

285196900 has 72 divisors (see below), whose sum is σ = 643458816. Its totient is φ = 109603200.

The previous prime is 285196883. The next prime is 285196903. The reversal of 285196900 is 9691582.

It is a super-2 number, since 2×2851969002 = 162674543539220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (285196903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610467 + ... + 610933.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2285196900 is an apocalyptic number.

285196900 is a gapful number since it is divisible by the number (20) 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 285196900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

285196900 is an abundant number, since it is smaller than the sum of its proper divisors (358261916).

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

285196900 is a wasteful number, since it uses less digits than its factorization.

285196900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 285196900 is about 16887.7736839407. The cubic root of 285196900 is about 658.2359534790.

The spelling of 285196900 in words is "two hundred eighty-five million, one hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 197 310 394 467 620 775 788 934 985 1550 1868 1970 2335 3100 3940 4670 4925 6107 9340 9850 11675 12214 14477 19700 23350 24428 28954 30535 46700 57908 61070 72385 91999 122140 144770 152675 183998 289540 305350 361925 367996 459995 610700 723850 919990 1447700 1839980 2299975 2851969 4599950 5703938 9199900 11407876 14259845 28519690 57039380 71299225 142598450 285196900