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233404230132 = 223317373435851
BaseRepresentation
bin1101100101011111111…
…0011110100111110100
3211022110100020101201000
43121113332132213310
512311002440331012
6255120250403300
722601655136023
oct3312776364764
9738410211630
10233404230132
118aa9366a767
123929a730530
1319018a5b618
14b4226b88ba
156110d8dddc
hex3657f9e9f4

233404230132 has 96 divisors (see below), whose sum is σ = 658034375040. Its totient is φ = 71245785600.

The previous prime is 233404230131. The next prime is 233404230151. The reversal of 233404230132 is 231032404332.

233404230132 is a `hidden beast` number, since 23 + 3 + 404 + 230 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233404230096 and 233404230105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233404230131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649994 + ... + 1785857.

It is an arithmetic number, because the mean of its divisors is an integer number (6854524740).

Almost surely, 2233404230132 is an apocalyptic number.

It is an amenable number.

233404230132 is an abundant number, since it is smaller than the sum of its proper divisors (424630144908).

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

233404230132 is a wasteful number, since it uses less digits than its factorization.

233404230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435918 (or 3435910 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 233404230132 its reverse (231032404332), we get a palindrome (464436634464).

The spelling of 233404230132 in words is "two hundred thirty-three billion, four hundred four million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 102 108 111 148 153 204 222 306 333 444 459 612 629 666 918 999 1258 1332 1836 1887 1998 2516 3774 3996 5661 7548 11322 16983 22644 33966 67932 3435851 6871702 10307553 13743404 20615106 30922659 41230212 58409467 61845318 92767977 116818934 123690636 127126487 175228401 185535954 233637868 254252974 350456802 371071908 381379461 508505948 525685203 700913604 762758922 1051370406 1144138383 1525517844 1577055609 2102740812 2161150279 2288276766 3154111218 3432415149 4322300558 4576553532 6308222436 6483450837 6864830298 8644601116 12966901674 13729660596 19450352511 25933803348 38900705022 58351057533 77801410044 116702115066 233404230132