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205465020 = 22353424417
BaseRepresentation
bin11000011111100…
…10010110111100
3112022121201000120
430033302112330
5410044340040
632215454540
75043265245
oct1417622674
9468551016
10205465020
11a5a85a02
1258987450
133374b947
141d405ccc
15130887d0
hexc3f25bc

205465020 has 24 divisors (see below), whose sum is σ = 575302224. Its totient is φ = 54790656.

The previous prime is 205464991. The next prime is 205465061. The reversal of 205465020 is 20564502.

205465020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1712149 + ... + 1712268.

It is an arithmetic number, because the mean of its divisors is an integer number (23970926).

Almost surely, 2205465020 is an apocalyptic number.

205465020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205465020 is an abundant number, since it is smaller than the sum of its proper divisors (369837204).

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

205465020 is a wasteful number, since it uses less digits than its factorization.

205465020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424429 (or 3424427 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 205465020 is about 14334.0510673012. The cubic root of 205465020 is about 590.0823594689.

The spelling of 205465020 in words is "two hundred five million, four hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3424417 6848834 10273251 13697668 17122085 20546502 34244170 41093004 51366255 68488340 102732510 205465020