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23289201 = 3413171301
BaseRepresentation
bin101100011010…
…1110101110001
31121211012210000
41120311311301
521430223301
62151100213
7401645355
oct130656561
947735700
1023289201
1112167581
127971669
134a955c0
143143465
1520a0786
hex1635d71

23289201 has 40 divisors (see below), whose sum is σ = 39700584. Its totient is φ = 13478400.

The previous prime is 23289197. The next prime is 23289209. The reversal of 23289201 is 10298232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18225 + 23270976 = 135^2 + 4824^2 .

It is not a de Polignac number, because 23289201 - 22 = 23289197 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (23289209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17251 + ... + 18551.

Almost surely, 223289201 is an apocalyptic number.

It is an amenable number.

23289201 is a deficient number, since it is larger than the sum of its proper divisors (16411383).

23289201 is a wasteful number, since it uses less digits than its factorization.

23289201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23289201 is about 4825.8886228341. Note that the first 3 decimals coincide. The cubic root of 23289201 is about 285.5736920545.

The spelling of 23289201 in words is "twenty-three million, two hundred eighty-nine thousand, two hundred one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1301 1377 1989 3903 5967 11709 16913 17901 22117 35127 50739 66351 105381 152217 199053 287521 456651 597159 862563 1369953 1791477 2587689 7763067 23289201