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203872812 = 223111331937

203872812 has 192 divisors, whose sum is σ = 607756800. Its totient is φ = 52565760.

The previous prime is 203872783. The next prime is 203872819. The reversal of 203872812 is 218278302.

203872812 is an astonishing number since 203872812 = 2812 + ... + 20387.

It is a super-4 number, since 4×2038728124 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203872819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5510058 + ... + 5510094.

It is an arithmetic number, because the mean of its divisors is an integer number (3165400).

Almost surely, 2203872812 is an apocalyptic number.

203872812 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 203872812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303878400).

203872812 is an abundant number, since it is smaller than the sum of its proper divisors (403883988).

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

203872812 is a wasteful number, since it uses less digits than its factorization.

203872812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 203872812 is about 14278.4036922900. The cubic root of 203872812 is about 588.5541654197.

The spelling of 203872812 in words is "two hundred three million, eight hundred seventy-two thousand, eight hundred twelve".