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233204400234 = 232139137109073
BaseRepresentation
bin1101100100110000010…
…0001100000001101010
3211021221102012222121200
43121030010030001222
512310100311301414
6255044351345030
722564010460411
oct3311404140152
9737842188550
10233204400234
118a9a0893593
1239243822176
1318cb6533890
14b403d3c478
1560ed56a109
hex364c10c06a

233204400234 has 48 divisors (see below), whose sum is σ = 544208143752. Its totient is φ = 71746689024.

The previous prime is 233204400229. The next prime is 233204400239. The reversal of 233204400234 is 432004402332.

233204400234 is a `hidden beast` number, since 2 + 3 + 3 + 20 + 4 + 400 + 234 = 666.

It is an interprime number because it is at equal distance from previous prime (233204400229) and next prime (233204400239).

It can be written as a sum of positive squares in 4 ways, for example, as 37135217025 + 196069183209 = 192705^2 + 442797^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233204400198 and 233204400207.

It is not an unprimeable number, because it can be changed into a prime (233204400239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2083522 + ... + 2192594.

Almost surely, 2233204400234 is an apocalyptic number.

233204400234 is an abundant number, since it is smaller than the sum of its proper divisors (311003743518).

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

233204400234 is a wasteful number, since it uses less digits than its factorization.

233204400234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118231 (or 118228 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 233204400234 its reverse (432004402332), we get a palindrome (665208802566).

The spelling of 233204400234 in words is "two hundred thirty-three billion, two hundred four million, four hundred thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9137 18274 27411 54822 82233 109073 118781 164466 218146 237562 327219 356343 654438 712686 981657 1069029 1417949 1963314 2138058 2835898 4253847 8507694 12761541 25523082 996600001 1993200002 2989800003 5979600006 8969400009 12955800013 17938800018 25911600026 38867400039 77734800078 116602200117 233204400234