Search a number
-
+
32220334213434 = 2321012653268721
BaseRepresentation
bin1110101001101111000011…
…00100110100100100111010
311020002020022111020100211200
413110313201210310210322
513210344221024312214
6152305452303035030
76533561626662333
oct724674144644472
9136066274210750
1032220334213434
11a2a2626754604
12374462489ba76
1314c94979b6c33
147d568876128a
153ad1d14b2d09
hex1d4de193493a

32220334213434 has 72 divisors (see below), whose sum is σ = 70617002389596. Its totient is φ = 10617449664000.

The previous prime is 32220334213433. The next prime is 32220334213453. The reversal of 32220334213434 is 43431243302223.

32220334213434 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 0 + 3 + 3 + 4 + 213 + 434 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26698374700209 + 5521959513225 = 5167047^2 + 2349885^2 .

It is not an unprimeable number, because it can be changed into a prime (32220334213433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119768194 + ... + 120036914.

Almost surely, 232220334213434 is an apocalyptic number.

32220334213434 is an abundant number, since it is smaller than the sum of its proper divisors (38396668176162).

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

32220334213434 is a wasteful number, since it uses less digits than its factorization.

32220334213434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269584 (or 269480 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 32220334213434 its reverse (43431243302223), we get a palindrome (75651577515657).

The spelling of 32220334213434 in words is "thirty-two trillion, two hundred twenty billion, three hundred thirty-four million, two hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 101 202 303 606 653 909 1306 1818 1959 3918 5877 10201 11754 20402 30603 61206 65953 91809 131906 183618 197859 268721 395718 537442 593577 806163 1187154 1612326 2418489 4836978 6661253 13322506 19983759 27140821 39967518 54281642 59951277 81422463 119902554 162844926 175474813 244267389 350949626 488534778 526424439 1052848878 1579273317 2741222921 3158546634 5482445842 8223668763 16447337526 17722956113 24671006289 35445912226 49342012578 53168868339 106337736678 159506605017 319013210034 1790018567413 3580037134826 5370055702239 10740111404478 16110167106717 32220334213434