145933224 has 64 divisors (see below), whose sum is σ = 388992000. Its totient is φ = 45489600.

The previous prime is 145933199. The next prime is 145933237. The reversal of 145933224 is 422339541.

It is a super-3 number, since 3×145933224³ (a number of 25 digits) contains 333 as substring.

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, 33999 + ... + 38049.

It is an arithmetic number, because the mean of its divisors is an integer number (6078000).

Almost surely, 2^145933224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145933224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194496000).

145933224 is an abundant number, since it is smaller than the sum of its proper divisors (243058776).

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

145933224 is a wasteful number, since it uses less digits than its factorization.

145933224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4154 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 145933224 is about 12080.2824470291. The cubic root of 145933224 is about 526.4834524461.

The spelling of 145933224 in words is "one hundred forty-five million, nine hundred thirty-three thousand, two hundred twenty-four".