150223200 has 144 divisors (see below), whose sum is σ = 498624336. Its totient is φ = 39270400.

The previous prime is 150223193. The next prime is 150223223. The reversal of 150223200 is 2322051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150223200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126610 + ... + 127790.

It is an arithmetic number, because the mean of its divisors is an integer number (3462669).

Almost surely, 2^150223200 is an apocalyptic number.

150223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249312168).

150223200 is an abundant number, since it is smaller than the sum of its proper divisors (348401136).

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

150223200 is a wasteful number, since it uses less digits than its factorization.

150223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 150223200 is about 12256.5574285768. The cubic root of 150223200 is about 531.5926933089.

Adding to 150223200 its reverse (2322051), we get a palindrome (152545251).

The spelling of 150223200 in words is "one hundred fifty million, two hundred twenty-three thousand, two hundred".