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235409130 = 232511221617
BaseRepresentation
bin11100000100000…
…00111011101010
3121101222000121200
432002000323222
5440231043010
635205345030
75555641665
oct1602007352
9541860550
10235409130
11110978400
1266a08176
1339a04358
142339c6dc
1515a00cc0
hexe080eea

235409130 has 72 divisors (see below), whose sum is σ = 672795396. Its totient is φ = 57066240.

The previous prime is 235409089. The next prime is 235409131. The reversal of 235409130 is 31904532.

235409130 is a `hidden beast` number, since 2 + 3 + 540 + 91 + 30 = 666.

235409130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221503689 + 13905441 = 14883^2 + 3729^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 235409094 and 235409103.

It is not an unprimeable number, because it can be changed into a prime (235409131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82 + ... + 21698.

Almost surely, 2235409130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235409130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336397698).

235409130 is an abundant number, since it is smaller than the sum of its proper divisors (437386266).

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

235409130 is a wasteful number, since it uses less digits than its factorization.

235409130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21652 (or 21638 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 235409130 is about 15343.0482629756. The cubic root of 235409130 is about 617.4584913118.

The spelling of 235409130 in words is "two hundred thirty-five million, four hundred nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 21617 43234 64851 108085 129702 194553 216170 237787 324255 389106 475574 648510 713361 972765 1188935 1426722 1945530 2140083 2377870 2615657 3566805 4280166 5231314 7133610 7846971 10700415 13078285 15693942 21400830 23540913 26156570 39234855 47081826 78469710 117704565 235409130