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2006200044 = 2232193119431
BaseRepresentation
bin111011110010100…
…0010111011101100
312011211000112002100
41313211002323230
513102041400134
6531023455100
7100500263502
oct16745027354
95154015070
102006200044
1193a4a1872
1247ba57490
1325c838424
14150630672
15bb1d9999
hex77942eec

2006200044 has 72 divisors (see below), whose sum is σ = 5355866880. Its totient is φ = 631432800.

The previous prime is 2006200037. The next prime is 2006200103. The reversal of 2006200044 is 4400026002.

2006200044 is a `hidden beast` number, since 2 + 0 + 0 + 620 + 0 + 0 + 44 = 666.

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

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, 208009 + ... + 217439.

It is an arithmetic number, because the mean of its divisors is an integer number (74387040).

Almost surely, 22006200044 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 2006200044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677933440).

2006200044 is an abundant number, since it is smaller than the sum of its proper divisors (3349666836).

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

2006200044 is a wasteful number, since it uses less digits than its factorization.

2006200044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2006200044 is about 44790.6245100467. The cubic root of 2006200044 is about 1261.2216345299.

Adding to 2006200044 its reverse (4400026002), we get a palindrome (6406226046).

The spelling of 2006200044 in words is "two billion, six million, two hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 311 342 622 684 933 1244 1866 2799 3732 5598 5909 9431 11196 11818 17727 18862 23636 28293 35454 37724 53181 56586 70908 84879 106362 113172 169758 179189 212724 339516 358378 537567 716756 1075134 1612701 2150268 2933041 3225402 5866082 6450804 8799123 11732164 17598246 26397369 35196492 52794738 55727779 105589476 111455558 167183337 222911116 334366674 501550011 668733348 1003100022 2006200044