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217251226112 = 29205992
BaseRepresentation
bin1100101001010100101…
…1101010001000000000
3202202202121111202211212
43022111023222020000
512024412303213422
6243445343425252
721460454644604
oct3122513521000
9682677452755
10217251226112
1184154720768
1236130bb5228
131764339408b
14a72d2b9504
1559b7c239e2
hex32952ea200

217251226112 has 30 divisors (see below), whose sum is σ = 434099207223. Its totient is φ = 108620339712.

The previous prime is 217251226103. The next prime is 217251226123. The reversal of 217251226112 is 211622152712.

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 only one way, i.e., 108625613056 + 108625613056 = 329584^2 + 329584^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=329584.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10536389 + ... + 10556987.

Almost surely, 2217251226112 is an apocalyptic number.

It is an amenable number.

217251226112 is a deficient number, since it is larger than the sum of its proper divisors (216847981111).

217251226112 is an frugal number, since it uses more digits than its factorization.

217251226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41216 (or 20601 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

Multiplying 217251226112 by its sum of digits (32), we get a square (6952039235584 = 26366722).

217251226112 divided by its sum of digits (32) gives a square (6789100816 = 823962).

Adding to 217251226112 its reverse (211622152712), we get a palindrome (428873378824).

The spelling of 217251226112 in words is "two hundred seventeen billion, two hundred fifty-one million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 20599 41198 82396 164792 329584 659168 1318336 2636672 5273344 10546688 424318801 848637602 1697275204 3394550408 6789100816 13578201632 27156403264 54312806528 108625613056 217251226112