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233086321 = 1348161
BaseRepresentation
bin11011110010010…
…01110101110001
3121020121000022201
431321021311301
5434132230241
635043503201
75530125646
oct1571116561
9536530281
10233086321
1110a631226
1266087b01
13393a0000
1422d55dcd
15156e2931
hexde49d71

233086321 has 10 divisors (see below), whose sum is σ = 252540442. Its totient is φ = 215130240.

The previous prime is 233086309. The next prime is 233086333. The reversal of 233086321 is 123680332.

It is an interprime number because it is at equal distance from previous prime (233086309) and next prime (233086333).

It can be written as a sum of positive squares in 5 ways, for example, as 208484721 + 24601600 = 14439^2 + 4960^2 .

It is not a de Polignac number, because 233086321 - 25 = 233086289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233086321.

It is not an unprimeable number, because it can be changed into a prime (233086351) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24481 + ... + 32641.

Almost surely, 2233086321 is an apocalyptic number.

233086321 is the 8161-st nonagonal number.

It is an amenable number.

233086321 is a deficient number, since it is larger than the sum of its proper divisors (19454121).

233086321 is an frugal number, since it uses more digits than its factorization.

233086321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 233086321 is about 15267.1647990057. The cubic root of 233086321 is about 615.4209302436.

The spelling of 233086321 in words is "two hundred thirty-three million, eighty-six thousand, three hundred twenty-one".

Divisors: 1 13 169 2197 8161 28561 106093 1379209 17929717 233086321