Search a number
-
+
220433033040331 = 23314716194062959
BaseRepresentation
bin110010000111101110010000…
…101000011001000111001011
31001220111012012002011020202011
4302013232100220121013023
5212343033322424242311
62100453312024320351
764300522023422446
oct6207562050310713
91056435162136664
10220433033040331
1164267140523911
12208814949130b7
1395cc990758357
143c6103121665d
151a73e80866321
hexc87b90a191cb

220433033040331 has 32 divisors (see below), whose sum is σ = 242638671052800. Its totient is φ = 199582573095840.

The previous prime is 220433033040329. The next prime is 220433033040343. The reversal of 220433033040331 is 133040330334022.

It is not a de Polignac number, because 220433033040331 - 21 = 220433033040329 is a prime.

It is a super-2 number, since 2×2204330330403312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220433033040293 and 220433033040302.

It is not an unprimeable number, because it can be changed into a prime (220433033040301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52222830 + ... + 56285788.

It is an arithmetic number, because the mean of its divisors is an integer number (7582458470400).

Almost surely, 2220433033040331 is an apocalyptic number.

220433033040331 is a deficient number, since it is larger than the sum of its proper divisors (22205638012469).

220433033040331 is a wasteful number, since it uses less digits than its factorization.

220433033040331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064679.

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 220433033040331 its reverse (133040330334022), we get a palindrome (353473363374353).

The spelling of 220433033040331 in words is "two hundred twenty trillion, four hundred thirty-three billion, thirty-three million, forty thousand, three hundred thirty-one".

Divisors: 1 23 31 47 713 1081 1457 1619 33511 37237 50189 76093 1154347 1750139 2358883 4062959 54254309 93448057 125951729 190959073 2896889767 4392058679 5919731263 6577930621 136153819049 151292404283 203915849251 309162739187 4690064532773 7110743001301 9584044914797 220433033040331