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2212163140 = 225112914117
BaseRepresentation
bin1000001111011010…
…1110111001000100
312201011120112100011
42003312232321010
514012303210030
61003302200004
7105551035135
oct20366567104
95634515304
102212163140
11a35787a00
12518a23004
132933cc995
1416db25c8c
15ce320b2a
hex83daee44

2212163140 has 36 divisors (see below), whose sum is σ = 5106263148. Its totient is φ = 804422080.

The previous prime is 2212163119. The next prime is 2212163143. The reversal of 2212163140 is 413612122.

2212163140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1289097216 + 923065924 = 35904^2 + 30382^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2212163143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454639 + ... + 459478.

It is an arithmetic number, because the mean of its divisors is an integer number (141840643).

Almost surely, 22212163140 is an apocalyptic number.

2212163140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212163140 is an abundant number, since it is smaller than the sum of its proper divisors (2894100008).

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

2212163140 is a wasteful number, since it uses less digits than its factorization.

2212163140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914148 (or 914135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2212163140 is about 47033.6383878602. The cubic root of 2212163140 is about 1302.9839031731.

Adding to 2212163140 its reverse (413612122), we get a palindrome (2625775262).

The spelling of 2212163140 in words is "two billion, two hundred twelve million, one hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 914117 1828234 3656468 4570585 9141170 10055287 18282340 20110574 40221148 50276435 100552870 110608157 201105740 221216314 442432628 553040785 1106081570 2212163140