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212213204032 = 26101271312101
BaseRepresentation
bin1100010110100011100…
…1001000010001000000
3202021202111120201210111
43011220321020101000
511434103040012112
6241253413241104
721221561320564
oct3055071102100
9667674521714
10212213204032
1181aa9904155
1235165933194
131701c6b201b
14a3b215b6a4
1557c07ab5a7
hex3168e48440

212213204032 has 56 divisors (see below), whose sum is σ = 425471901912. Its totient is φ = 105008640000.

The previous prime is 212213204017. The next prime is 212213204143. The reversal of 212213204032 is 230402312212.

It can be written as a sum of positive squares in 4 ways, for example, as 206392124416 + 5821079616 = 454304^2 + 76296^2 .

It is a super-2 number, since 2×2122132040322 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 212213203994 and 212213204012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17530782 + ... + 17542882.

Almost surely, 2212213204032 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 212213204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212735950956).

212213204032 is an abundant number, since it is smaller than the sum of its proper divisors (213258697880).

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

212213204032 is a wasteful number, since it uses less digits than its factorization.

212213204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14927 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212213204032 its reverse (230402312212), we get a palindrome (442615516244).

The spelling of 212213204032 in words is "two hundred twelve billion, two hundred thirteen million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 2713 3232 5426 6464 10852 12101 21704 24202 43408 48404 86816 96808 173632 193616 274013 387232 548026 774464 1096052 1222201 2192104 2444402 4384208 4888804 8768416 9777608 17536832 19555216 32830013 39110432 65660026 78220864 131320052 262640104 525280208 1050560416 2101120832 3315831313 6631662626 13263325252 26526650504 53053301008 106106602016 212213204032