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232355201 = 13176771553
BaseRepresentation
bin11011101100101…
…11010110000001
3121012012212102012
431312113112001
5433440331301
635020102305
75520662261
oct1566272601
9535185365
10232355201
1110a1819a1
1265994995
13391a52b0
1422c057a1
15155eaebb
hexdd97581

232355201 has 16 divisors (see below), whose sum is σ = 265510224. Its totient is φ = 201437184.

The previous prime is 232355183. The next prime is 232355203. The reversal of 232355201 is 102553232.

It can be written as a sum of positive squares in 8 ways, for example, as 1345600 + 231009601 = 1160^2 + 15199^2 .

It is not a de Polignac number, because 232355201 - 214 = 232338817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232355203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148841 + ... + 150393.

It is an arithmetic number, because the mean of its divisors is an integer number (16594389).

Almost surely, 2232355201 is an apocalyptic number.

232355201 is the 8801-st octagonal number.

It is an amenable number.

232355201 is a deficient number, since it is larger than the sum of its proper divisors (33155023).

232355201 is a wasteful number, since it uses less digits than its factorization.

232355201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 232355201 is about 15243.2017962107. The cubic root of 232355201 is about 614.7767943171.

The spelling of 232355201 in words is "two hundred thirty-two million, three hundred fifty-five thousand, two hundred one".

Divisors: 1 13 17 221 677 1553 8801 11509 20189 26401 149617 343213 1051381 13667953 17873477 232355201