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2222032113 = 3272947113229
BaseRepresentation
bin1000010001110001…
…1000010011110001
312201212010221000200
42010130120103301
514022320011423
61004253505413
7106030650510
oct20434302361
95655127020
102222032113
11a40308684
125201a2269
13295476a02
14171174677
15d011ed43
hex847184f1

2222032113 has 96 divisors (see below), whose sum is σ = 3926707200. Its totient is φ = 1184053248.

The previous prime is 2222032097. The next prime is 2222032133. The reversal of 2222032113 is 3112302222.

It is not a de Polignac number, because 2222032113 - 24 = 2222032097 is a prime.

It is a super-2 number, since 2×22220321132 = 9874853422406489538, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2222032133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9703083 + ... + 9703311.

It is an arithmetic number, because the mean of its divisors is an integer number (40903200).

Almost surely, 22222032113 is an apocalyptic number.

It is an amenable number.

2222032113 is a deficient number, since it is larger than the sum of its proper divisors (1704675087).

2222032113 is a wasteful number, since it uses less digits than its factorization.

2222032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2222032113 is about 47138.4356231727. The cubic root of 2222032113 is about 1304.9186667063.

Adding to 2222032113 its reverse (3112302222), we get a palindrome (5334334335).

The spelling of 2222032113 in words is "two billion, two hundred twenty-two million, thirty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 29 47 63 87 113 141 203 229 261 329 339 423 609 687 791 987 1017 1363 1603 1827 2061 2373 2961 3277 4089 4809 5311 6641 7119 9541 9831 10763 12267 14427 15933 19923 22939 25877 28623 29493 32289 37177 46487 47799 59769 68817 75341 77631 85869 96867 111531 139461 154019 181139 206451 226023 232893 312127 334593 418383 462057 543417 678069 750433 936381 1078133 1216219 1386171 1630251 2184889 2251299 2809143 3234399 3648657 5253031 6554667 6753897 8513533 9703197 10945971 15759093 19664001 25540599 35270351 47277279 76621797 105811053 246892457 317433159 740677371 2222032113