203220864 has 384 divisors, whose sum is σ = 763776000. Its totient is φ = 50319360.

The previous prime is 203220833. The next prime is 203220869. The reversal of 203220864 is 468022302.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203220869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2572377 + ... + 2572455.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^203220864 is an apocalyptic number.

203220864 is a gapful number since it is divisible by the number (24) 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 203220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

203220864 is an abundant number, since it is smaller than the sum of its proper divisors (560555136).

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

203220864 is a wasteful number, since it uses less digits than its factorization.

203220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 203220864 is about 14255.5555486273. Note that the first 4 decimals coincide. The cubic root of 203220864 is about 587.9261326061.

The spelling of 203220864 in words is "two hundred three million, two hundred twenty thousand, eight hundred sixty-four".