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2213231113332 = 2233191915711717
BaseRepresentation
bin100000001101001110110…
…110101011010001110100
321211120201212210201211000
4200031032312223101310
5242230144131111312
64412424435443300
7315620634030351
oct40151666532164
97746655721730
102213231113332
117836982a0298
122b8b32756530
13130925ab4195
1479199c9b628
153c887d06adc
hex2034edab474

2213231113332 has 96 divisors (see below), whose sum is σ = 5769170749440. Its totient is φ = 733738400640.

The previous prime is 2213231113283. The next prime is 2213231113339. The reversal of 2213231113332 is 2333111323122.

2213231113332 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 311 + 13 + 332 = 666.

It is a super-2 number, since 2×22132311133322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2213231113296 and 2213231113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213231113339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188884738 + ... + 188896454.

It is an arithmetic number, because the mean of its divisors is an integer number (60095528640).

Almost surely, 22213231113332 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 2213231113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884585374720).

2213231113332 is an abundant number, since it is smaller than the sum of its proper divisors (3555939636108).

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

2213231113332 is a wasteful number, since it uses less digits than its factorization.

2213231113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21078 (or 21070 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2213231113332 its reverse (2333111323122), we get a palindrome (4546342436454).

The spelling of 2213231113332 in words is "two trillion, two hundred thirteen billion, two hundred thirty-one million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 6876 9157 10314 11717 18314 20628 23434 27471 35151 36628 46868 54942 70302 82413 105453 109884 140604 164826 210906 247239 316359 329652 421812 494478 632718 988956 1265436 1748987 2237947 3497974 4475894 5246961 6713841 6995948 8951788 10493922 13427682 15740883 20141523 20987844 26855364 31481766 40283046 47222649 60424569 62963532 80566092 94445298 107292569 120849138 188890596 214585138 241698276 321877707 429170276 643755414 965633121 1287510828 1931266242 2896899363 3862532484 5793798726 11587597452 20492880679 40985761358 61478642037 81971522716 122957284074 184435926111 245914568148 368871852222 553307778333 737743704444 1106615556666 2213231113332