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2200400900 = 225222004009
BaseRepresentation
bin1000001100100111…
…0111010000000100
312200100102221120122
42003021313100010
514001300312100
61002202121112
7105346045655
oct20311672004
95610387518
102200400900
11a2a083845
12514ab0198
13290b41c89
1416c34352c
15cd29a985
hex83277404

2200400900 has 18 divisors (see below), whose sum is σ = 4774870170. Its totient is φ = 880160320.

The previous prime is 2200400861. The next prime is 2200400921. The reversal of 2200400900 is 90040022.

It can be written as a sum of positive squares in 3 ways, for example, as 206956996 + 1993443904 = 14386^2 + 44648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11001905 + ... + 11002104.

It is an arithmetic number, because the mean of its divisors is an integer number (265270565).

Almost surely, 22200400900 is an apocalyptic number.

2200400900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200400900 is an abundant number, since it is smaller than the sum of its proper divisors (2574469270).

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

2200400900 is a wasteful number, since it uses less digits than its factorization.

2200400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22004023 (or 22004016 counting only the distinct ones).

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

The square root of 2200400900 is about 46908.4310119194. The cubic root of 2200400900 is about 1300.6704431306.

Adding to 2200400900 its reverse (90040022), we get a palindrome (2290440922).

The spelling of 2200400900 in words is "two billion, two hundred million, four hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22004009 44008018 88016036 110020045 220040090 440080180 550100225 1100200450 2200400900