2213242000 has 40 divisors (see below), whose sum is σ = 5351623992. Its totient is φ = 885296000.

The previous prime is 2213241983. The next prime is 2213242067. The reversal of 2213242000 is 2423122.

It can be written as a sum of positive squares in 4 ways, for example, as 528632064 + 1684609936 = 22992^2 + 41044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551311 + ... + 555310.

Almost surely, 2^2213242000 is an apocalyptic number.

2213242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213242000 is an abundant number, since it is smaller than the sum of its proper divisors (3138381992).

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

2213242000 is a wasteful number, since it uses less digits than its factorization.

2213242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106644 (or 1106628 counting only the distinct ones).

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

The square root of 2213242000 is about 47045.1060153976. The cubic root of 2213242000 is about 1303.1956881490.

Adding to 2213242000 its reverse (2423122), we get a palindrome (2215665122).

The spelling of 2213242000 in words is "two billion, two hundred thirteen million, two hundred forty-two thousand".