200229120 has 432 divisors, whose sum is σ = 857106432. Its totient is φ = 42024960.

The previous prime is 200229103. The next prime is 200229143. The reversal of 200229120 is 21922002.

200229120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200229093 and 200229102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048225 + ... + 1048415.

Almost surely, 2^200229120 is an apocalyptic number.

200229120 is a gapful number since it is divisible by the number (20) 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 200229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428553216).

200229120 is an abundant number, since it is smaller than the sum of its proper divisors (656877312).

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

200229120 is a wasteful number, since it uses less digits than its factorization.

200229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 200229120 is about 14150.2339203280. The cubic root of 200229120 is about 585.0267794009.

The spelling of 200229120 in words is "two hundred million, two hundred twenty-nine thousand, one hundred twenty".