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2206206016 = 26731672371
BaseRepresentation
bin1000001110000000…
…0000100001000000
312200202100212200221
42003200000201000
514004242043031
61002530352424
7105446304340
oct20340004100
95622325627
102206206016
11a32389263
12516a2b714
132920c5361
1416d014d20
15cda45a11
hex83800840

2206206016 has 112 divisors (see below), whose sum is σ = 5244055552. Its totient is φ = 900979200.

The previous prime is 2206205999. The next prime is 2206206043. The reversal of 2206206016 is 6106026022.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929311 + ... + 931681.

Almost surely, 22206206016 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 2206206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622027776).

2206206016 is an abundant number, since it is smaller than the sum of its proper divisors (3037849536).

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

2206206016 is a wasteful number, since it uses less digits than its factorization.

2206206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2206206016 is about 46970.2673613851. The cubic root of 2206206016 is about 1301.8132519322.

The spelling of 2206206016 in words is "two billion, two hundred six million, two hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 67 112 124 134 217 224 248 268 434 448 469 496 536 868 938 992 1072 1736 1876 1984 2077 2144 2371 3472 3752 4154 4288 4742 6944 7504 8308 9484 13888 14539 15008 16597 16616 18968 29078 30016 33194 33232 37936 58156 66388 66464 73501 75872 116312 132776 132928 147002 151744 158857 232624 265552 294004 317714 465248 514507 531104 588008 635428 930496 1029014 1062208 1111999 1176016 1270856 2058028 2223998 2352032 2541712 4116056 4447996 4704064 4924567 5083424 8232112 8895992 9849134 10166848 16464224 17791984 19698268 32928448 34471969 35583968 39396536 68943938 71167936 78793072 137887876 157586144 275775752 315172288 551551504 1103103008 2206206016