2202114000 has 80 divisors (see below), whose sum is σ = 7099634880. Its totient is φ = 587228800.

The previous prime is 2202113987. The next prime is 2202114007. The reversal of 2202114000 is 4112022.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202114007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177510 + ... + 189509.

It is an arithmetic number, because the mean of its divisors is an integer number (88745436).

Almost surely, 2^2202114000 is an apocalyptic number.

2202114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202114000 is an abundant number, since it is smaller than the sum of its proper divisors (4897520880).

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

2202114000 is a wasteful number, since it uses less digits than its factorization.

2202114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367045 (or 367029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2202114000 is about 46926.6875029551. The cubic root of 2202114000 is about 1301.0078968713.

Adding to 2202114000 its reverse (4112022), we get a palindrome (2206226022).

The spelling of 2202114000 in words is "two billion, two hundred two million, one hundred fourteen thousand".