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232105221 = 32169315233
BaseRepresentation
bin11011101010110…
…10010100000101
3121011202011111200
431311122110011
5433404331341
635010453113
75515601415
oct1565322405
9534664450
10232105221
1110a0210a7
1265894199
133911858a
1422b7c645
151559bdb6
hexdd5a505

232105221 has 12 divisors (see below), whose sum is σ = 335483148. Its totient is φ = 154635264.

The previous prime is 232105217. The next prime is 232105229. The reversal of 232105221 is 122501232.

232105221 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 60233121 + 171872100 = 7761^2 + 13110^2 .

It is not a de Polignac number, because 232105221 - 22 = 232105217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232105194 and 232105203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232105229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7621 + ... + 22853.

It is an arithmetic number, because the mean of its divisors is an integer number (27956929).

Almost surely, 2232105221 is an apocalyptic number.

It is an amenable number.

232105221 is a deficient number, since it is larger than the sum of its proper divisors (103377927).

232105221 is a wasteful number, since it uses less digits than its factorization.

232105221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16932 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 232105221 is about 15234.9998687233. Note that the first 3 decimals coincide. The cubic root of 232105221 is about 614.5562454213.

Adding to 232105221 its reverse (122501232), we get a palindrome (354606453).

The spelling of 232105221 in words is "two hundred thirty-two million, one hundred five thousand, two hundred twenty-one".

Divisors: 1 3 9 1693 5079 15233 15237 45699 137097 25789469 77368407 232105221