2225145510 has 96 divisors (see below), whose sum is σ = 6765707520. Its totient is φ = 496770624.

The previous prime is 2225145491. The next prime is 2225145523. The reversal of 2225145510 is 155415222.

2225145510 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 145 + 510 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13980 + ... + 68159.

It is an arithmetic number, because the mean of its divisors is an integer number (70476120).

Almost surely, 2^2225145510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225145510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382853760).

2225145510 is an abundant number, since it is smaller than the sum of its proper divisors (4540562010).

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

2225145510 is a wasteful number, since it uses less digits than its factorization.

2225145510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82202 (or 82199 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2225145510 is about 47171.4480379816. The cubic root of 2225145510 is about 1305.5278438972.

The spelling of 2225145510 in words is "two billion, two hundred twenty-five million, one hundred forty-five thousand, five hundred ten".