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202490000 = 245420249
BaseRepresentation
bin11000001000111…
…00000010010000
3112010000120001122
430010130002100
5403314140000
632032021412
75006064566
oct1404340220
9463016048
10202490000
11a4333809
1257991868
1332c4978b
141cc6da36
1512b9c085
hexc11c090

202490000 has 50 divisors (see below), whose sum is σ = 490272750. Its totient is φ = 80992000.

The previous prime is 202489997. The next prime is 202490017. The reversal of 202490000 is 94202.

It can be written as a sum of positive squares in 5 ways, for example, as 100560784 + 101929216 = 10028^2 + 10096^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 125 + ... + 20124.

It is an arithmetic number, because the mean of its divisors is an integer number (9805455).

Almost surely, 2202490000 is an apocalyptic number.

202490000 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 202490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245136375).

202490000 is an abundant number, since it is smaller than the sum of its proper divisors (287782750).

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

202490000 is an equidigital number, since it uses as much as digits as its factorization.

202490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20277 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 202490000 is about 14229.8981022353. The cubic root of 202490000 is about 587.2204796764.

The spelling of 202490000 in words is "two hundred two million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20249 40498 80996 101245 161992 202490 323984 404980 506225 809960 1012450 1619920 2024900 2531125 4049800 5062250 8099600 10124500 12655625 20249000 25311250 40498000 50622500 101245000 202490000