146209224 has 64 divisors (see below), whose sum is σ = 418636800. Its totient is φ = 41684544.

The previous prime is 146209211. The next prime is 146209243. The reversal of 146209224 is 422902641.

It is a junction number, because it is equal to n+sod(n) for n = 146209191 and 146209200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153919 + ... + 154865.

It is an arithmetic number, because the mean of its divisors is an integer number (6541200).

Almost surely, 2^146209224 is an apocalyptic number.

146209224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146209224 is an abundant number, since it is smaller than the sum of its proper divisors (272427576).

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

146209224 is a wasteful number, since it uses less digits than its factorization.

146209224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 146209224 is about 12091.7006248087. The cubic root of 146209224 is about 526.8151519232.

The spelling of 146209224 in words is "one hundred forty-six million, two hundred nine thousand, two hundred twenty-four".