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2212656201 = 32725017361
BaseRepresentation
bin1000001111100010…
…0111010001001001
312201012111120200200
42003320213101021
514012414444301
61003320522413
7105555160500
oct20370472111
95635446620
102212656201
11a35a94398
12519020409
13293543232
1416dc13837
15ce3bbc86
hex83e27449

2212656201 has 18 divisors (see below), whose sum is σ = 3717865242. Its totient is φ = 1264374720.

The previous prime is 2212656179. The next prime is 2212656223. The reversal of 2212656201 is 1026562122.

2212656201 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 656 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2212656179) and next prime (2212656223).

It can be written as a sum of positive squares in only one way, i.e., 2195016201 + 17640000 = 46851^2 + 4200^2 .

It is not a de Polignac number, because 2212656201 - 214 = 2212639817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2212656601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2508240 + ... + 2509121.

It is an arithmetic number, because the mean of its divisors is an integer number (206548069).

Almost surely, 22212656201 is an apocalyptic number.

2212656201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2212656201 is a deficient number, since it is larger than the sum of its proper divisors (1505209041).

2212656201 is a wasteful number, since it uses less digits than its factorization.

2212656201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017381 (or 5017371 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2212656201 is about 47038.8796741589. The cubic root of 2212656201 is about 1303.0807017635.

The spelling of 2212656201 in words is "two billion, two hundred twelve million, six hundred fifty-six thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 5017361 15052083 35121527 45156249 105364581 245850689 316093743 737552067 2212656201