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2200200220044 = 2232377092329763
BaseRepresentation
bin100000000001000110001…
…001110000110110001100
321210100002201212202201200
4200001012021300312030
5242022002224020134
64402431422305500
7314650004204001
oct40010611606614
97710081782650
102200200220044
117791107352a2
122b64b6728290
1312c62a1b6a38
14786c13ad8a8
153c373d01499
hex20046270d8c

2200200220044 has 72 divisors (see below), whose sum is σ = 5719989977520. Its totient is φ = 712571686272.

The previous prime is 2200200219961. The next prime is 2200200220051. The reversal of 2200200220044 is 4400220020022.

2200200220044 is a `hidden beast` number, since 2 + 200 + 200 + 220 + 0 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200200219999 and 2200200220026.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220494 + ... + 2109269.

Almost surely, 22200200220044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200200220044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859994988760).

2200200220044 is an abundant number, since it is smaller than the sum of its proper divisors (3519789757476).

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

2200200220044 is a wasteful number, since it uses less digits than its factorization.

2200200220044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330519 (or 2330514 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2200200220044 its reverse (4400220020022), we get a palindrome (6600420240066).

The spelling of 2200200220044 in words is "two trillion, two hundred billion, two hundred million, two hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 709 1332 1418 2127 2836 4254 6381 8508 12762 25524 26233 52466 78699 104932 157398 236097 314796 472194 944388 2329763 4659526 6989289 9319052 13978578 20967867 27957156 41935734 83871468 86201231 172402462 258603693 344804924 517207386 775811079 1034414772 1551622158 1651801967 3103244316 3303603934 4955405901 6607207868 9910811802 14866217703 19821623604 29732435406 59464870812 61116672779 122233345558 183350018337 244466691116 366700036674 550050055011 733400073348 1100100110022 2200200220044