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203314020 = 2235713231619
BaseRepresentation
bin11000001111001…
…01001101100100
3112011120102101220
430013211031210
5404022022040
632101420340
75016066150
oct1407451544
9464512356
10203314020
11a4846918
125810a6b0
1333177870
141d006060
1512cb12d0
hexc1e5364

203314020 has 192 divisors, whose sum is σ = 731566080. Its totient is φ = 41006592.

The previous prime is 203314009. The next prime is 203314051. The reversal of 203314020 is 20413302.

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

It is an unprimeable number.

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, 124771 + ... + 126389.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2203314020 is an apocalyptic number.

203314020 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 203314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

203314020 is an abundant number, since it is smaller than the sum of its proper divisors (528252060).

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

203314020 is a wasteful number, since it uses less digits than its factorization.

203314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 203314020 is about 14258.8225320326. The cubic root of 203314020 is about 588.0159535678.

Adding to 203314020 its reverse (20413302), we get a palindrome (223727322).

The spelling of 203314020 in words is "two hundred three million, three hundred fourteen thousand, twenty".