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233073 = 32192947
BaseRepresentation
bin111000111001110001
3102211201100
4320321301
524424243
64555013
71660341
oct707161
9384640
10233073
1114a125
12b2a69
1382119
1460d21
15490d3
hex38e71

233073 has 24 divisors (see below), whose sum is σ = 374400. Its totient is φ = 139104.

The previous prime is 233071. The next prime is 233083. The reversal of 233073 is 370332.

It is not a de Polignac number, because 233073 - 21 = 233071 is a prime.

233073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (233071) 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, 4936 + ... + 4982.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2233073 is an apocalyptic number.

It is an amenable number.

233073 is a deficient number, since it is larger than the sum of its proper divisors (141327).

233073 is a wasteful number, since it uses less digits than its factorization.

233073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 233073 is about 482.7763457337. The cubic root of 233073 is about 61.5409206149.

The spelling of 233073 in words is "two hundred thirty-three thousand, seventy-three".

Divisors: 1 3 9 19 29 47 57 87 141 171 261 423 551 893 1363 1653 2679 4089 4959 8037 12267 25897 77691 233073