Search a number
-
+
2214300000 = 2535511261
BaseRepresentation
bin1000001111111011…
…1000100101100000
312201022121002120010
42003332320211200
514013330100000
61003420044520
7105605145063
oct20376704540
95638532503
102214300000
11a36a07400
12519693740
1329399a4b3
141701208da
15ce5e3d50
hex83fb8960

2214300000 has 432 divisors, whose sum is σ = 8116636752. Its totient is φ = 528000000.

The previous prime is 2214299993. The next prime is 2214300019. The reversal of 2214300000 is 34122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36299970 + ... + 36300030.

It is an arithmetic number, because the mean of its divisors is an integer number (18788511).

Almost surely, 22214300000 is an apocalyptic number.

2214300000 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 2214300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058318376).

2214300000 is an abundant number, since it is smaller than the sum of its proper divisors (5902336752).

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

2214300000 is an equidigital number, since it uses as much as digits as its factorization.

2214300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2214300000 is about 47056.3491996564. The cubic root of 2214300000 is about 1303.4033113847.

Adding to 2214300000 its reverse (34122), we get a palindrome (2214334122).

The spelling of 2214300000 in words is "two billion, two hundred fourteen million, three hundred thousand".