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235405212 = 223721921109
BaseRepresentation
bin11100000011111…
…11111110011100
3121101221211020120
432001333332130
5440230431322
635205314540
75555624400
oct1601777634
9541854216
10235405212
11110975469
1266a05a50
1339a02633
142339b100
15159eea5c
hexe07ff9c

235405212 has 108 divisors (see below), whose sum is σ = 674964360. Its totient is φ = 63661248.

The previous prime is 235405199. The next prime is 235405271. The reversal of 235405212 is 212504532.

It is a super-2 number, since 2×2354052122 = 110831227673529888, which contains 22 as substring.

It is a zygodrome in base 2.

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, 211714 + ... + 212822.

It is an arithmetic number, because the mean of its divisors is an integer number (6249670).

Almost surely, 2235405212 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 235405212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337482180).

235405212 is an abundant number, since it is smaller than the sum of its proper divisors (439559148).

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

235405212 is a wasteful number, since it uses less digits than its factorization.

235405212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

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

The square root of 235405212 is about 15342.9205824706. The cubic root of 235405212 is about 617.4550657638.

Adding to 235405212 its reverse (212504532), we get a palindrome (447909744).

The spelling of 235405212 in words is "two hundred thirty-five million, four hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 361 399 532 588 722 798 931 1083 1109 1444 1596 1862 2166 2218 2527 2793 3327 3724 4332 4436 5054 5586 6654 7581 7763 10108 11172 13308 15162 15526 17689 21071 23289 30324 31052 35378 42142 46578 53067 54341 63213 70756 84284 93156 106134 108682 126426 147497 163023 212268 217364 252852 294994 326046 400349 442491 589988 652092 800698 884982 1032479 1201047 1601396 1769964 2064958 2402094 2802443 3097437 4129916 4804188 5604886 6194874 8407329 11209772 12389748 16814658 19617101 33629316 39234202 58851303 78468404 117702606 235405212