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205225020 = 22325711131767
BaseRepresentation
bin11000011101101…
…11110000111100
3112022011111210200
430032313300330
5410014200040
632210403500
75041245450
oct1416676074
9468144720
10205225020
11a5931660
1258890590
1333696630
141d382660
151303c630
hexc3b7c3c

205225020 has 576 divisors, whose sum is σ = 898200576. Its totient is φ = 36495360.

The previous prime is 205224989. The next prime is 205225039. The reversal of 205225020 is 20522502.

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 = 205224984 and 205225002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3063027 + ... + 3063093.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2205225020 is an apocalyptic number.

205225020 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 205225020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449100288).

205225020 is an abundant number, since it is smaller than the sum of its proper divisors (692975556).

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

205225020 is a wasteful number, since it uses less digits than its factorization.

205225020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205225020 is about 14325.6769473558. The cubic root of 205225020 is about 589.8525150843.

Adding to 205225020 its reverse (20522502), we get a palindrome (225747522).

It can be divided in two parts, 2052 and 25020, that added together give a palindrome (27072).

The spelling of 205225020 in words is "two hundred five million, two hundred twenty-five thousand, twenty".