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233075466 = 23213996049
BaseRepresentation
bin11011110010001…
…11001100001010
3121020120110102200
431321013030022
5434131403331
635043341030
75530052211
oct1571071412
9536513380
10233075466
1110a624058
1266081776
13393980a0
1422d52078
15156de5e6
hexde4730a

233075466 has 24 divisors (see below), whose sum is σ = 543843300. Its totient is φ = 71715456.

The previous prime is 233075459. The next prime is 233075471. The reversal of 233075466 is 664570332.

233075466 is digitally balanced in base 2, 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 230888025 + 2187441 = 15195^2 + 1479^2 .

It is a super-2 number, since 2×2330754662 = 108648345702234312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233075466.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497791 + ... + 498258.

Almost surely, 2233075466 is an apocalyptic number.

233075466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

233075466 is an abundant number, since it is smaller than the sum of its proper divisors (310767834).

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

233075466 is a wasteful number, since it uses less digits than its factorization.

233075466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996070 (or 996067 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 233075466 is about 15266.8092933658. The cubic root of 233075466 is about 615.4113765614.

The spelling of 233075466 in words is "two hundred thirty-three million, seventy-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 996049 1992098 2988147 5976294 8964441 12948637 17928882 25897274 38845911 77691822 116537733 233075466