2225436000 has 192 divisors, whose sum is σ = 7720090560. Its totient is φ = 558489600.

The previous prime is 2225435987. The next prime is 2225436013. The reversal of 2225436000 is 6345222.

It is an interprime number because it is at equal distance from previous prime (2225435987) and next prime (2225436013).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 198546 + ... + 209454.

It is an arithmetic number, because the mean of its divisors is an integer number (40208805).

Almost surely, 2^2225436000 is an apocalyptic number.

2225436000 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 2225436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860045280).

2225436000 is an abundant number, since it is smaller than the sum of its proper divisors (5494654560).

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

2225436000 is a wasteful number, since it uses less digits than its factorization.

2225436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2225436000 is about 47174.5270246560. The cubic root of 2225436000 is about 1305.5846531080.

The spelling of 2225436000 in words is "two billion, two hundred twenty-five million, four hundred thirty-six thousand".