Search a number
-
+
2220102012220 = 225219223506357
BaseRepresentation
bin100000010011101000011…
…001000100110100111100
321212020110201121120011121
4200103220121010310330
5242333232103342340
64415522323000324
7316253124511501
oct40235031046474
97766421546147
102220102012220
117865a3787324
122ba32b8090a4
1313147c427821
147964c60d4a8
153cb3b11d94a
hex204e8644d3c

2220102012220 has 24 divisors (see below), whose sum is σ = 4662244700064. Its totient is φ = 888035000256.

The previous prime is 2220102012217. The next prime is 2220102012223. The reversal of 2220102012220 is 222102010222.

It is an interprime number because it is at equal distance from previous prime (2220102012217) and next prime (2220102012223).

It is a junction number, because it is equal to n+sod(n) for n = 2220102012194 and 2220102012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220102012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4131282 + ... + 4637638.

It is an arithmetic number, because the mean of its divisors is an integer number (194260195836).

Almost surely, 22220102012220 is an apocalyptic number.

2220102012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220102012220 is an abundant number, since it is smaller than the sum of its proper divisors (2442142687844).

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

2220102012220 is a wasteful number, since it uses less digits than its factorization.

2220102012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725589 (or 725587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2220102012220 its reverse (222102010222), we get a palindrome (2442204022442).

The spelling of 2220102012220 in words is "two trillion, two hundred twenty billion, one hundred two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 219223 438446 506357 876892 1012714 1096115 2025428 2192230 2531785 4384460 5063570 10127140 111005100611 222010201222 444020402444 555025503055 1110051006110 2220102012220