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235132404 = 22313223712
BaseRepresentation
bin11100000001111…
…01010111110100
3121101102222000120
432000331113310
5440143214104
635155411540
75553410133
oct1600752764
9541388016
10235132404
111107a9501
12668b3bb0
1339938400
142332991a
1515998cd9
hexe03d5f4

235132404 has 108 divisors (see below), whose sum is σ = 628776288. Its totient is φ = 68228160.

The previous prime is 235132367. The next prime is 235132421. The reversal of 235132404 is 404231532.

235132404 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 35 ways as a sum of consecutive naturals, for example, 3311689 + ... + 3311759.

Almost surely, 2235132404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314388144).

235132404 is an abundant number, since it is smaller than the sum of its proper divisors (393643884).

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

235132404 is a wasteful number, since it uses less digits than its factorization.

235132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 235132404 is about 15334.0276509468. The cubic root of 235132404 is about 617.2164533838.

Adding to 235132404 its reverse (404231532), we get a palindrome (639363936).

The spelling of 235132404 in words is "two hundred thirty-five million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 71 78 92 138 142 156 169 213 276 284 299 338 426 507 598 676 852 897 923 1014 1196 1633 1794 1846 2028 2769 3266 3588 3692 3887 4899 5041 5538 6532 7774 9798 10082 11076 11661 11999 15123 15548 19596 20164 21229 23322 23998 30246 35997 42458 46644 47996 60492 63687 65533 71994 84916 115943 127374 131066 143988 196599 231886 254748 262132 275977 347829 393198 463772 551954 695658 786396 827931 851929 1103908 1391316 1507259 1655862 1703858 2555787 3014518 3311724 3407716 4521777 5111574 6029036 9043554 10223148 18087108 19594367 39188734 58783101 78377468 117566202 235132404