Search a number
-
+
202310000 = 245420231
BaseRepresentation
bin11000000111100…
…00000101110000
3112002200102010222
430003300011300
5403242410000
632024112212
75004415034
oct1403600560
9462612128
10202310000
11a4220552
1257905668
1332bb5879
141cc241c4
1512b63a85
hexc0f0170

202310000 has 50 divisors (see below), whose sum is σ = 489836952. Its totient is φ = 80920000.

The previous prime is 202309993. The next prime is 202310021. The reversal of 202310000 is 13202.

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

It is a super-2 number, since 2×2023100002 = 81858672200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 202310000.

It is a congruent number.

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, 116 + ... + 20115.

Almost surely, 2202310000 is an apocalyptic number.

202310000 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 202310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244918476).

202310000 is an abundant number, since it is smaller than the sum of its proper divisors (287526952).

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

202310000 is an equidigital number, since it uses as much as digits as its factorization.

202310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20259 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 202310000 is about 14223.5719845614. The cubic root of 202310000 is about 587.0464282470.

Adding to 202310000 its reverse (13202), we get a palindrome (202323202).

The spelling of 202310000 in words is "two hundred two million, three hundred ten 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 20231 40462 80924 101155 161848 202310 323696 404620 505775 809240 1011550 1618480 2023100 2528875 4046200 5057750 8092400 10115500 12644375 20231000 25288750 40462000 50577500 101155000 202310000