Search a number
-
+
202020200000 = 265573101137
BaseRepresentation
bin1011110000100101010…
…1111001111001000000
3201022110010122110220122
42330021111321321000
511302214132400000
6232450133555412
720411151236633
oct2741125717100
9638403573818
10202020200000
1178749155383
12331a01a5b68
1316086a199a8
149ac6517c1a
1553c59c7085
hex2f09579e40

202020200000 has 336 divisors, whose sum is σ = 516710084688. Its totient is φ = 78336000000.

The previous prime is 202020199993. The next prime is 202020200003. The reversal of 202020200000 is 2020202.

It can be written as a sum of positive squares in 24 ways, for example, as 201967550464 + 52649536 = 449408^2 + 7256^2 .

It is a super-2 number, since 2×2020202000002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (202020200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474599932 + ... + 1474600068.

It is an arithmetic number, because the mean of its divisors is an integer number (1537827633).

Almost surely, 2202020200000 is an apocalyptic number.

202020200000 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 202020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258355042344).

202020200000 is an abundant number, since it is smaller than the sum of its proper divisors (314689884688).

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

202020200000 is an equidigital number, since it uses as much as digits as its factorization.

202020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 202020200000 its reverse (2020202), we get a palindrome (202022220202).

202020200000 divided by its reverse (2020202) gives a 5-th power (100000 = 105).

It can be divided in two parts, 2020 and 20200000, that multiplied together give a square (40804000000 = 2020002).

The spelling of 202020200000 in words is "two hundred two billion, twenty million, two hundred thousand".