147224616 has 192 divisors, whose sum is σ = 492480000. Its totient is φ = 36167040.

The previous prime is 147224599. The next prime is 147224629. The reversal of 147224616 is 616422741.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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, 245485 + ... + 246083.

It is an arithmetic number, because the mean of its divisors is an integer number (2565000).

Almost surely, 2^147224616 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 147224616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240000).

147224616 is an abundant number, since it is smaller than the sum of its proper divisors (345255384).

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

147224616 is a wasteful number, since it uses less digits than its factorization.

147224616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 147224616 is about 12133.6151249329. The cubic root of 147224616 is about 528.0318793883.

The spelling of 147224616 in words is "one hundred forty-seven million, two hundred twenty-four thousand, six hundred sixteen".