Search a number
-
+
2214810000 = 24335413631
BaseRepresentation
bin1000010000000011…
…0101000110010000
312201100120000011000
42010000311012100
514013442410000
61003435022000
7105612401004
oct20400650620
95640500130
102214810000
11a37225597
1251989a900
13293b18680
14170214704
15ce695000
hex84035190

2214810000 has 400 divisors, whose sum is σ = 8568757120. Its totient is φ = 544320000.

The previous prime is 2214809977. The next prime is 2214810049. The reversal of 2214810000 is 184122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×22148100002 = 9810766672200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3509685 + ... + 3510315.

Almost surely, 22214810000 is an apocalyptic number.

2214810000 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 2214810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284378560).

2214810000 is an abundant number, since it is smaller than the sum of its proper divisors (6353947120).

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

2214810000 is a wasteful number, since it uses less digits than its factorization.

2214810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2214810000 is about 47061.7679225930. The cubic root of 2214810000 is about 1303.5033707957.

Adding to 2214810000 its reverse (184122), we get a palindrome (2214994122).

The spelling of 2214810000 in words is "two billion, two hundred fourteen million, eight hundred ten thousand".