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802223911112 = 23132243592
BaseRepresentation
bin10111010110010000100…
…01010111000011001000
32211200200100211010111212
423223020101113003020
5101120423310123422
61412311522312252
7111646566506621
oct13531021270310
92750610733455
10802223911112
1128a248536068
1210b5871b8688
135a859930700
142ab83868a48
1515d036839e2
hexbac84570c8

802223911112 has 36 divisors (see below), whose sum is σ = 1628842486545. Its totient is φ = 370241989728.

The previous prime is 802223911079. The next prime is 802223911117. The reversal of 802223911112 is 211119322208.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 685925178436 + 116298732676 = 828206^2 + 341026^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=633334.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (802223911117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32921189 + ... + 32945547.

Almost surely, 2802223911112 is an apocalyptic number.

It is an amenable number.

802223911112 is an abundant number, since it is smaller than the sum of its proper divisors (826618575433).

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

802223911112 is an frugal number, since it uses more digits than its factorization.

802223911112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48750 (or 24374 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

Multiplying 802223911112 by its sum of digits (32), we get a square (25671165155584 = 50666722).

The spelling of 802223911112 in words is "eight hundred two billion, two hundred twenty-three million, nine hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 24359 48718 97436 194872 316667 633334 1266668 2533336 4116671 8233342 16466684 32933368 593360881 1186721762 2373443524 4746887048 7713691453 15427382906 30854765812 61709531624 100277988889 200555977778 401111955556 802223911112