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2200400200 = 235211002001
BaseRepresentation
bin1000001100100111…
…0111000101001000
312200100102220121201
42003021313011020
514001300301300
61002202113544
7105346043635
oct20311670510
95610386551
102200400200
11a2a083269
12514aab8b4
13290b4186b
1416c34318c
15cd29a66a
hex83277148

2200400200 has 24 divisors (see below), whose sum is σ = 5115930930. Its totient is φ = 880160000.

The previous prime is 2200400173. The next prime is 2200400231. The reversal of 2200400200 is 20040022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 990612676 + 1209787524 = 31474^2 + 34782^2 .

It is a super-2 number, since 2×22004002002 = 9683522080320080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 5500801 + ... + 5501200.

Almost surely, 22200400200 is an apocalyptic number.

2200400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200400200 is an abundant number, since it is smaller than the sum of its proper divisors (2915530730).

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

2200400200 is a wasteful number, since it uses less digits than its factorization.

2200400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002017 (or 11002008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2200400200 is about 46908.4235505735. The cubic root of 2200400200 is about 1300.6703052058.

Adding to 2200400200 its reverse (20040022), we get a palindrome (2220440222).

It can be divided in two parts, 2 and 200400200, that multiplied together give a square (400800400 = 200202).

The spelling of 2200400200 in words is "two billion, two hundred million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11002001 22004002 44008004 55010005 88016008 110020010 220040020 275050025 440080040 550100050 1100200100 2200400200