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2214231240 = 2335132412663
BaseRepresentation
bin1000001111111010…
…0111110011001000
312201022110121020110
42003332213303020
514013320344430
61003414354320
7105604440444
oct20376476310
95638417213
102214231240
11a3696a781
1251965b9a0
13293975100
14170103824
15ce5cd7b0
hex83fa7cc8

2214231240 has 192 divisors, whose sum is σ = 7371181440. Its totient is φ = 531548160.

The previous prime is 2214231221. The next prime is 2214231247. The reversal of 2214231240 is 421324122.

It is not an unprimeable number, because it can be changed into a prime (2214231247) 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 47 ways as a sum of consecutive naturals, for example, 830149 + ... + 832811.

It is an arithmetic number, because the mean of its divisors is an integer number (38391570).

Almost surely, 22214231240 is an apocalyptic number.

2214231240 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 2214231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685590720).

2214231240 is an abundant number, since it is smaller than the sum of its proper divisors (5156950200).

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

2214231240 is a wasteful number, since it uses less digits than its factorization.

2214231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2214231240 is about 47055.6185805691. The cubic root of 2214231240 is about 1303.3898198464.

Adding to 2214231240 its reverse (421324122), we get a palindrome (2635555362).

The spelling of 2214231240 in words is "two billion, two hundred fourteen million, two hundred thirty-one thousand, two hundred forty".