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235105820 = 22567317467
BaseRepresentation
bin11100000001101…
…10111000011100
3121101101121112222
432000312320130
5440141341240
635155044512
75553236465
oct1600667034
9541347488
10235105820
11110790534
12668a0738
1339929291
142331dd6c
1515990eb5
hexe036e1c

235105820 has 24 divisors (see below), whose sum is σ = 494484144. Its totient is φ = 93897216.

The previous prime is 235105799. The next prime is 235105823. The reversal of 235105820 is 28501532.

It is a self number, because there is not a number n which added to its sum of digits gives 235105820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235105823) 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 7 ways as a sum of consecutive naturals, for example, 4727 + ... + 22193.

It is an arithmetic number, because the mean of its divisors is an integer number (20603506).

Almost surely, 2235105820 is an apocalyptic number.

235105820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235105820 is an abundant number, since it is smaller than the sum of its proper divisors (259378324).

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

235105820 is a wasteful number, since it uses less digits than its factorization.

235105820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18149 (or 18147 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 235105820 is about 15333.1607961307. The cubic root of 235105820 is about 617.1931917373.

The spelling of 235105820 in words is "two hundred thirty-five million, one hundred five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 673 1346 2692 3365 6730 13460 17467 34934 69868 87335 174670 349340 11755291 23510582 47021164 58776455 117552910 235105820