Search a number
-
+
2204070020 = 225377340801
BaseRepresentation
bin1000001101011111…
…0111000010000100
312200121100100122222
42003113313002010
514003220220040
61002412511512
7105422200055
oct20327670204
95617310588
102204070020
11a3115a479
1251617b598
13291828059
1416ca1a72c
15cd772bb5
hex835f7084

2204070020 has 48 divisors (see below), whose sum is σ = 4818879408. Its totient is φ = 846028800.

The previous prime is 2204070019. The next prime is 2204070067. The reversal of 2204070020 is 200704022.

It can be written as a sum of positive squares in 8 ways, for example, as 477335104 + 1726734916 = 21848^2 + 41554^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33620 + ... + 74420.

It is an arithmetic number, because the mean of its divisors is an integer number (100393321).

Almost surely, 22204070020 is an apocalyptic number.

2204070020 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 2204070020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409439704).

2204070020 is an abundant number, since it is smaller than the sum of its proper divisors (2614809388).

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

2204070020 is a wasteful number, since it uses less digits than its factorization.

2204070020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40920 (or 40918 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2204070020 is about 46947.5241093713. The cubic root of 2204070020 is about 1301.3929881016.

Adding to 2204070020 its reverse (200704022), we get a palindrome (2404774042).

The spelling of 2204070020 in words is "two billion, two hundred four million, seventy thousand, twenty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 730 740 1460 2701 5402 10804 13505 27010 40801 54020 81602 163204 204005 408010 816020 1509637 2978473 3019274 5956946 6038548 7548185 11913892 14892365 15096370 29784730 30192740 59569460 110203501 220407002 440814004 551017505 1102035010 2204070020