146225310 has 96 divisors (see below), whose sum is σ = 445398912. Its totient is φ = 30381120.

The previous prime is 146225297. The next prime is 146225363. The reversal of 146225310 is 13522641.

It is a super-2 number, since 2×146225310² = 42763682569192200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11649 + ... + 20691.

It is an arithmetic number, because the mean of its divisors is an integer number (4639572).

Almost surely, 2^146225310 is an apocalyptic number.

146225310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146225310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222699456).

146225310 is an abundant number, since it is smaller than the sum of its proper divisors (299173602).

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

146225310 is a wasteful number, since it uses less digits than its factorization.

146225310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 146225310 is about 12092.3657734953. The cubic root of 146225310 is about 526.8344713558.

Adding to 146225310 its reverse (13522641), we get a palindrome (159747951).

It can be divided in two parts, 146 and 225310, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 146225310 in words is "one hundred forty-six million, two hundred twenty-five thousand, three hundred ten".