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2112220221 = 33761311951
BaseRepresentation
bin111110111100101…
…1110110000111101
312110012111220102120
41331321132300331
513311212021341
6545332113153
7103225401306
oct17571366075
95405456376
102112220221
11994325351
124ab4657b9
132787a9167
1416074b7ad
15c567d066
hex7de5ec3d

2112220221 has 16 divisors (see below), whose sum is σ = 2939835648. Its totient is φ = 1347624000.

The previous prime is 2112220219. The next prime is 2112220223. The reversal of 2112220221 is 1220222112.

It is an interprime number because it is at equal distance from previous prime (2112220219) and next prime (2112220223).

It is not a de Polignac number, because 2112220221 - 21 = 2112220219 is a prime.

It is a super-4 number, since 4×21122202214 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2112220221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112220223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149205 + ... + 162746.

It is an arithmetic number, because the mean of its divisors is an integer number (183739728).

Almost surely, 22112220221 is an apocalyptic number.

It is an amenable number.

2112220221 is a deficient number, since it is larger than the sum of its proper divisors (827615427).

2112220221 is a wasteful number, since it uses less digits than its factorization.

2112220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312052.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2112220221 is about 45958.8970820667. The cubic root of 2112220221 is about 1283.0583242880.

Adding to 2112220221 its reverse (1220222112), we get a palindrome (3332442333).

The spelling of 2112220221 in words is "two billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 37 61 111 183 2257 6771 311951 935853 11542187 19029011 34626561 57087033 704073407 2112220221