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213223223232 = 263588315527
BaseRepresentation
bin1100011010010100011…
…0000010111111000000
3202101100220010000200000
43012211012002333000
511443140121120412
6241541533400000
721255604331145
oct3064506027700
9671326100600
10213223223232
1182477a50568
12353a8039000
1317150a19716
14a46a3563cc
15582e2bb4dc
hex31a5182fc0

213223223232 has 168 divisors, whose sum is σ = 634560291456. Its totient is φ = 70989343488.

The previous prime is 213223223209. The next prime is 213223223237. The reversal of 213223223232 is 232322322312.

213223223232 is a `hidden beast` number, since 2 + 13 + 2 + 2 + 322 + 323 + 2 = 666.

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 = 213223223196 and 213223223205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223223237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13724653 + ... + 13740179.

It is an arithmetic number, because the mean of its divisors is an integer number (3777144592).

Almost surely, 2213223223232 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 213223223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317280145728).

213223223232 is an abundant number, since it is smaller than the sum of its proper divisors (421337068224).

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

213223223232 is an equidigital number, since it uses as much as digits as its factorization.

213223223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16437 (or 16415 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

Adding to 213223223232 its reverse (232322322312), we get a palindrome (445545545544).

The spelling of 213223223232 in words is "two hundred thirteen billion, two hundred twenty-three million, two hundred twenty-three thousand, two hundred thirty-two".