Search a number
-
+
2204400400 = 24525511001
BaseRepresentation
bin1000001101100100…
…0111101100010000
312200121222010212021
42003121013230100
514003311303100
61002423541224
7105425044216
oct20331075420
95617863767
102204400400
11a31365714
125162ba814
13291912547
1416caa4cb6
15cd7daa1a
hex83647b10

2204400400 has 30 divisors (see below), whose sum is σ = 5296072922. Its totient is φ = 881760000.

The previous prime is 2204400397. The next prime is 2204400409. The reversal of 2204400400 is 40044022.

It can be written as a sum of positive squares in 3 ways, for example, as 30603024 + 2173797376 = 5532^2 + 46624^2 .

It is a super-2 number, since 2×22044004002 = 9718762247040320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2204400409) 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 5 ways as a sum of consecutive naturals, for example, 2755101 + ... + 2755900.

Almost surely, 22204400400 is an apocalyptic number.

2204400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204400400 is an abundant number, since it is smaller than the sum of its proper divisors (3091672522).

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

2204400400 is a wasteful number, since it uses less digits than its factorization.

2204400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511019 (or 5511008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2204400400 is about 46951.0425869330. The cubic root of 2204400400 is about 1301.4580091355.

Adding to 2204400400 its reverse (40044022), we get a palindrome (2244444422).

The spelling of 2204400400 in words is "two billion, two hundred four million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5511001 11022002 22044004 27555005 44088008 55110010 88176016 110220020 137775025 220440040 275550050 440880080 551100100 1102200200 2204400400