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235405000 = 235423289
BaseRepresentation
bin11100000011111…
…11111011001000
3121101221210221201
432001333323020
5440230430000
635205313544
75555623645
oct1601777310
9541853851
10235405000
11110975296
1266a058b4
1339a024cc
142339adcc
15159ee96a
hexe07fec8

235405000 has 120 divisors (see below), whose sum is σ = 583055550. Its totient is φ = 89056000.

The previous prime is 235404997. The next prime is 235405031. The reversal of 235405000 is 504532.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 763876 + 234641124 = 874^2 + 15318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2644956 + ... + 2645044.

Almost surely, 2235405000 is an apocalyptic number.

235405000 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 235405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291527775).

235405000 is an abundant number, since it is smaller than the sum of its proper divisors (347650550).

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

235405000 is an equidigital number, since it uses as much as digits as its factorization.

235405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 235405000 is about 15342.9136737453. The cubic root of 235405000 is about 617.4548804090.

Adding to 235405000 its reverse (504532), we get a palindrome (235909532).

The spelling of 235405000 in words is "two hundred thirty-five million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 89 92 100 115 125 178 184 200 230 250 356 445 460 500 529 575 625 712 890 920 1000 1058 1150 1250 1780 2047 2116 2225 2300 2500 2645 2875 3560 4094 4232 4450 4600 5000 5290 5750 8188 8900 10235 10580 11125 11500 13225 14375 16376 17800 20470 21160 22250 23000 26450 28750 40940 44500 47081 51175 52900 55625 57500 66125 81880 89000 94162 102350 105800 111250 115000 132250 188324 204700 222500 235405 255875 264500 330625 376648 409400 445000 470810 511750 529000 661250 941620 1023500 1177025 1279375 1322500 1883240 2047000 2354050 2558750 2645000 4708100 5117500 5885125 9416200 10235000 11770250 23540500 29425625 47081000 58851250 117702500 235405000