153220224 has 64 divisors (see below), whose sum is σ = 421056000. Its totient is φ = 49308672.

The previous prime is 153220217. The next prime is 153220229. The reversal of 153220224 is 422022351.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×153220224² = 46952874085220352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153220224.

It is not an unprimeable number, because it can be changed into a prime (153220229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4257 + ... + 18015.

It is an arithmetic number, because the mean of its divisors is an integer number (6579000).

Almost surely, 2^153220224 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 153220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210528000).

153220224 is an abundant number, since it is smaller than the sum of its proper divisors (267835776).

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

153220224 is a wasteful number, since it uses less digits than its factorization.

153220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13805 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 153220224 is about 12378.2157034041. The cubic root of 153220224 is about 535.1046163366.

Adding to 153220224 its reverse (422022351), we get a palindrome (575242575).

The spelling of 153220224 in words is "one hundred fifty-three million, two hundred twenty thousand, two hundred twenty-four".