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220122022221 = 32211324174789
BaseRepresentation
bin1100110100000001001…
…0111000000101001101
3210001011200102022202200
43031000102320011031
512101302214202341
6245042254512113
721621554213553
oct3150022700515
9701150368680
10220122022221
1185398163332
12367b2505639
13179b007b2ba
14a92268bbd3
155ad4c94db6
hex33404b814d

220122022221 has 24 divisors (see below), whose sum is σ = 318302570040. Its totient is φ = 146587262976.

The previous prime is 220122022217. The next prime is 220122022223. The reversal of 220122022221 is 122220221022.

220122022221 is a `hidden beast` number, since 2 + 201 + 220 + 22 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 991305225 + 219130716996 = 31485^2 + 468114^2 .

It is not a de Polignac number, because 220122022221 - 22 = 220122022217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220122022194 and 220122022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122022223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45961695 + ... + 45966483.

It is an arithmetic number, because the mean of its divisors is an integer number (13262607085).

Almost surely, 2220122022221 is an apocalyptic number.

It is an amenable number.

220122022221 is a deficient number, since it is larger than the sum of its proper divisors (98180547819).

220122022221 is a wasteful number, since it uses less digits than its factorization.

220122022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220122022221 its reverse (122220221022), we get a palindrome (342342243243).

The spelling of 220122022221 in words is "two hundred twenty billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 2113 2417 4789 6339 7251 14367 19017 21753 43101 5107121 10119157 11575013 15321363 30357471 34725039 45964089 91072413 104175117 24458002469 73374007407 220122022221