Search a number
-
+
212221231232 = 2783129115473
BaseRepresentation
bin1100010110100101011…
…1110000000010000000
3202021210001200120001012
43011221113300002000
511434112113344412
6241254301300052
721222016462523
oct3055127600200
9667701616035
10212221231232
11820033970aa
1235168564628
131702126294a
14a3b324abba
1557c1344c22
hex31695f0080

212221231232 has 64 divisors (see below), whose sum is σ = 428237379360. Its totient is φ = 104744202240.

The previous prime is 212221231223. The next prime is 212221231273. The reversal of 212221231232 is 232132122212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 212221231198 and 212221231207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13707848 + ... + 13723320.

Almost surely, 2212221231232 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 212221231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214118689680).

212221231232 is an abundant number, since it is smaller than the sum of its proper divisors (216016148128).

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

212221231232 is a wasteful number, since it uses less digits than its factorization.

212221231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16861 (or 16849 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

Adding to 212221231232 its reverse (232132122212), we get a palindrome (444353353444).

The spelling of 212221231232 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1291 1328 2582 2656 5164 5312 10328 10624 15473 20656 30946 41312 61892 82624 107153 123784 165248 214306 247568 428612 495136 857224 990272 1284259 1714448 1980544 2568518 3428896 5137036 6857792 10274072 13715584 19975643 20548144 39951286 41096288 79902572 82192576 159805144 164385152 319610288 639220576 1278441152 1657978369 2556882304 3315956738 6631913476 13263826952 26527653904 53055307808 106110615616 212221231232