2202022000 has 80 divisors (see below), whose sum is σ = 5404288032. Its totient is φ = 867609600.

The previous prime is 2202021989. The next prime is 2202022007. The reversal of 2202022000 is 2202022.

2202022000 = T₃₆₇ + T₃₆₈ + ... + T₂₃₆₆.

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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125784 + ... + 142216.

Almost surely, 2^2202022000 is an apocalyptic number.

2202022000 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 2202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702144016).

2202022000 is an abundant number, since it is smaller than the sum of its proper divisors (3202266032).

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

2202022000 is a wasteful number, since it uses less digits than its factorization.

2202022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16523 (or 16507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2202022000 is about 46925.7072402750. The cubic root of 2202022000 is about 1300.9897787670.

Adding to 2202022000 its reverse (2202022), we get a palindrome (2204224022).

2202022000 divided by its reverse (2202022) gives a cube (1000 = 10³).

The spelling of 2202022000 in words is "two billion, two hundred two million, twenty-two thousand".