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2216262126 = 231361465797
BaseRepresentation
bin1000010000011001…
…0111100111101110
312201110021210002110
42010012113213232
514014330342001
61003530104450
7105630626421
oct20406274756
95643253073
102216262126
11a380275a1
1251a27b126
13294206610
141704b19b8
15ce8803d6
hex841979ee

2216262126 has 32 divisors (see below), whose sum is σ = 4851751968. Its totient is φ = 670746240.

The previous prime is 2216262077. The next prime is 2216262127. The reversal of 2216262126 is 6212626122.

It is a happy number.

2216262126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22162621262 = 9823635622284079752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2216262093 and 2216262102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216262127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228141 + ... + 237656.

It is an arithmetic number, because the mean of its divisors is an integer number (151617249).

Almost surely, 22216262126 is an apocalyptic number.

2216262126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2216262126 is an abundant number, since it is smaller than the sum of its proper divisors (2635489842).

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

2216262126 is a wasteful number, since it uses less digits than its factorization.

2216262126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465876.

The product of its digits is 6912, while the sum is 30.

The square root of 2216262126 is about 47077.1932680783. The cubic root of 2216262126 is about 1303.7881864394.

Adding to 2216262126 its reverse (6212626122), we get a palindrome (8428888248).

The spelling of 2216262126 in words is "two billion, two hundred sixteen million, two hundred sixty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 366 793 1586 2379 4758 465797 931594 1397391 2794782 6055361 12110722 18166083 28413617 36332166 56827234 85240851 170481702 369377021 738754042 1108131063 2216262126