2225658000 has 160 divisors (see below), whose sum is σ = 7202931840. Its totient is φ = 591244800.

The previous prime is 2225657999. The next prime is 2225658011. The reversal of 2225658000 is 8565222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081466 + ... + 2082534.

It is an arithmetic number, because the mean of its divisors is an integer number (45018324).

Almost surely, 2^2225658000 is an apocalyptic number.

2225658000 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 2225658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601465920).

2225658000 is an abundant number, since it is smaller than the sum of its proper divisors (4977273840).

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

2225658000 is a wasteful number, since it uses less digits than its factorization.

2225658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2225658000 is about 47176.8799307457. The cubic root of 2225658000 is about 1305.6280648493.

The spelling of 2225658000 in words is "two billion, two hundred twenty-five million, six hundred fifty-eight thousand".