Search a number
-
+
32223040304 = 2471337359333
BaseRepresentation
bin11110000000101001…
…001001001100110000
310002011200100001101012
4132000221021030300
51011443044242204
622445243330052
72220342215630
oct360051111460
9102150301335
1032223040304
1112736080124
1262b3520928
133066b02970
1417b97a26c0
15c88d9776e
hex780a49330

32223040304 has 80 divisors (see below), whose sum is σ = 77046860352. Its totient is φ = 12713186304.

The previous prime is 32223040301. The next prime is 32223040313. The reversal of 32223040304 is 40304032223.

It is a self number, because there is not a number n which added to its sum of digits gives 32223040304.

It is not an unprimeable number, because it can be changed into a prime (32223040301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 513422 + ... + 572754.

Almost surely, 232223040304 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 32223040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38523430176).

32223040304 is an abundant number, since it is smaller than the sum of its proper divisors (44823820048).

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

32223040304 is a wasteful number, since it uses less digits than its factorization.

32223040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59734 (or 59728 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 32223040304 its reverse (40304032223), we get a palindrome (72527072527).

The spelling of 32223040304 in words is "thirty-two billion, two hundred twenty-three million, forty thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 373 728 746 1456 1492 2611 2984 4849 5222 5968 9698 10444 19396 20888 33943 38792 41776 59333 67886 77584 118666 135772 237332 271544 415331 474664 543088 771329 830662 949328 1542658 1661324 3085316 3322648 5399303 6170632 6645296 10798606 12341264 21597212 22131209 43194424 44262418 86388848 88524836 154918463 177049672 287705717 309836926 354099344 575411434 619673852 1150822868 1239347704 2013940019 2301645736 2478695408 4027880038 4603291472 8055760076 16111520152 32223040304