Search a number
-
+
3224166561 = 327119115107
BaseRepresentation
bin1100000000101100…
…1110000010100001
322022200211122001100
43000023032002201
523100341312221
61251533025013
7142616651340
oct30013160241
98280748040
103224166561
111404a5a070
1275b925169
133c4c80585
142282b9b57
1513d0c3926
hexc02ce0a1

3224166561 has 48 divisors (see below), whose sum is σ = 5813803008. Its totient is φ = 1672725600.

The previous prime is 3224166551. The next prime is 3224166581. The reversal of 3224166561 is 1656614223.

3224166561 is a `hidden beast` number, since 32 + 2 + 4 + 1 + 66 + 561 = 666.

It is not a de Polignac number, because 3224166561 - 211 = 3224164513 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3224166521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628770 + ... + 633876.

It is an arithmetic number, because the mean of its divisors is an integer number (121120896).

Almost surely, 23224166561 is an apocalyptic number.

It is an amenable number.

3224166561 is a deficient number, since it is larger than the sum of its proper divisors (2589636447).

3224166561 is a wasteful number, since it uses less digits than its factorization.

3224166561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6039 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3224166561 is about 56781.7449626198. The cubic root of 3224166561 is about 1477.3128989116.

The spelling of 3224166561 in words is "three billion, two hundred twenty-four million, one hundred sixty-six thousand, five hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 911 2733 5107 6377 8199 10021 15321 19131 30063 35749 45963 56177 57393 70147 90189 107247 168531 210441 321741 393239 505593 631323 1179717 3539151 4652477 13957431 32567339 41872293 51177247 97702017 153531741 293106051 358240729 460595223 1074722187 3224166561