Search a number
-
+
202030000 = 245489227
BaseRepresentation
bin11000000101010…
…11101110110000
3112002011012001121
430002223232300
5403204430000
632014112024
75002140514
oct1402535660
9462135047
10202030000
11a404a147
12577ab614
1332b182a3
141cb90144
1512b0ab1a
hexc0abbb0

202030000 has 100 divisors (see below), whose sum is σ = 496809720. Its totient is φ = 79552000.

The previous prime is 202029973. The next prime is 202030009. The reversal of 202030000 is 30202.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2020300002 = 81632241800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202030009) 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 19 ways as a sum of consecutive naturals, for example, 889887 + ... + 890113.

Almost surely, 2202030000 is an apocalyptic number.

202030000 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 202030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248404860).

202030000 is an abundant number, since it is smaller than the sum of its proper divisors (294779720).

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

202030000 is an equidigital number, since it uses as much as digits as its factorization.

202030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 202030000 is about 14213.7257606864. The cubic root of 202030000 is about 586.7754762594.

Adding to 202030000 its reverse (30202), we get a palindrome (202060202).

The spelling of 202030000 in words is "two hundred two million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 227 250 356 400 445 454 500 625 712 890 908 1000 1135 1250 1424 1780 1816 2000 2225 2270 2500 3560 3632 4450 4540 5000 5675 7120 8900 9080 10000 11125 11350 17800 18160 20203 22250 22700 28375 35600 40406 44500 45400 55625 56750 80812 89000 90800 101015 111250 113500 141875 161624 178000 202030 222500 227000 283750 323248 404060 445000 454000 505075 567500 808120 890000 1010150 1135000 1616240 2020300 2270000 2525375 4040600 5050750 8081200 10101500 12626875 20203000 25253750 40406000 50507500 101015000 202030000