201228192 has 192 divisors, whose sum is σ = 661893120. Its totient is φ = 58924800.

The previous prime is 201228191. The next prime is 201228193. The reversal of 201228192 is 291822102.

It is an interprime number because it is at equal distance from previous prime (201228191) and next prime (201228193).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201228191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294283 + ... + 294965.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^201228192 is an apocalyptic number.

201228192 is a gapful number since it is divisible by the number (22) 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 201228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

201228192 is an abundant number, since it is smaller than the sum of its proper divisors (460664928).

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

201228192 is a wasteful number, since it uses less digits than its factorization.

201228192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 201228192 is about 14185.4923072835. The cubic root of 201228192 is about 585.9981906159.

The spelling of 201228192 in words is "two hundred one million, two hundred twenty-eight thousand, one hundred ninety-two".