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2201404012200 = 2332521223002229
BaseRepresentation
bin100000000010001101111…
…001110111011010101000
321210110012122000202010100
4200002031321313122220
5242031433411342300
64403151103545400
7315021562235061
oct40021571673250
97713178022110
102201404012200
117796791a1148
122b67918bb260
1312c78c7082a3
1478797209568
153c3e483a700
hex2008de776a8

2201404012200 has 72 divisors (see below), whose sum is σ = 7393048480350. Its totient is φ = 587041069440.

The previous prime is 2201404012193. The next prime is 2201404012201. The reversal of 2201404012200 is 22104041022.

2201404012200 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 40 + 401 + 220 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2000827224036 + 200576788164 = 1414506^2 + 447858^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2201404012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 611499315 + ... + 611502914.

Almost surely, 22201404012200 is an apocalyptic number.

2201404012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201404012200 is an abundant number, since it is smaller than the sum of its proper divisors (5191644468150).

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

2201404012200 is a wasteful number, since it uses less digits than its factorization.

2201404012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223002251 (or 1223002239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2201404012200 its reverse (22104041022), we get a palindrome (2223508053222).

The spelling of 2201404012200 in words is "two trillion, two hundred one billion, four hundred four million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1223002229 2446004458 3669006687 4892008916 6115011145 7338013374 9784017832 11007020061 12230022290 14676026748 18345033435 22014040122 24460044580 29352053496 30575055725 36690066870 44028080244 48920089160 55035100305 61150111450 73380133740 88056160488 91725167175 110070200610 122300222900 146760267480 183450334350 220140401220 244600445800 275175501525 366900668700 440280802440 550351003050 733801337400 1100702006100 2201404012200