2214322000 has 160 divisors (see below), whose sum is σ = 5878873728. Its totient is φ = 800000000.

The previous prime is 2214321983. The next prime is 2214322001. The reversal of 2214322000 is 2234122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5521800 + ... + 5522200.

Almost surely, 2^2214322000 is an apocalyptic number.

2214322000 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 2214322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939436864).

2214322000 is an abundant number, since it is smaller than the sum of its proper divisors (3664551728).

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

2214322000 is a wasteful number, since it uses less digits than its factorization.

2214322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2214322000 is about 47056.5829613668. The cubic root of 2214322000 is about 1303.4076279901.

Adding to 2214322000 its reverse (2234122), we get a palindrome (2216556122).

The spelling of 2214322000 in words is "two billion, two hundred fourteen million, three hundred twenty-two thousand".