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2214211340 = 2251138925873
BaseRepresentation
bin1000001111111010…
…0010111100001100
312201022102120221102
42003332202330030
514013314230330
61003414122232
7105604325435
oct20376427414
95638376842
102214211340
11a36956830
12519650378
13293969033
141700da48c
15ce5c7945
hex83fa2f0c

2214211340 has 48 divisors (see below), whose sum is σ = 5085793440. Its totient is φ = 803066880.

The previous prime is 2214211333. The next prime is 2214211453. The reversal of 2214211340 is 431124122.

2214211340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72644 + ... + 98516.

It is an arithmetic number, because the mean of its divisors is an integer number (105954030).

Almost surely, 22214211340 is an apocalyptic number.

2214211340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542896720).

2214211340 is an abundant number, since it is smaller than the sum of its proper divisors (2871582100).

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

2214211340 is a wasteful number, since it uses less digits than its factorization.

2214211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26282 (or 26280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2214211340 is about 47055.4071281930. The cubic root of 2214211340 is about 1303.3859151752.

Adding to 2214211340 its reverse (431124122), we get a palindrome (2645335462).

The spelling of 2214211340 in words is "two billion, two hundred fourteen million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 389 778 1556 1945 3890 4279 7780 8558 17116 21395 25873 42790 51746 85580 103492 129365 258730 284603 517460 569206 1138412 1423015 2846030 5692060 10064597 20129194 40258388 50322985 100645970 110710567 201291940 221421134 442842268 553552835 1107105670 2214211340