Search a number
-
+
3224204412 = 22311134145827
BaseRepresentation
bin1100000000101101…
…0111010001111100
322022200220112222020
43000023113101330
523100344020122
61251533520140
7142620166602
oct30013272174
98280815866
103224204412
111404a85550
1275b943050
133c4c94880
142282c9872
1513d0cec5c
hexc02d747c

3224204412 has 96 divisors (see below), whose sum is σ = 9054146304. Its totient is φ = 879859200.

The previous prime is 3224204407. The next prime is 3224204429. The reversal of 3224204412 is 2144024223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47443 + ... + 93269.

It is an arithmetic number, because the mean of its divisors is an integer number (94314024).

Almost surely, 23224204412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224204412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527073152).

3224204412 is an abundant number, since it is smaller than the sum of its proper divisors (5829941892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3224204412 is a wasteful number, since it uses less digits than its factorization.

3224204412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45899 (or 45897 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3224204412 is about 56782.0782641847. The cubic root of 3224204412 is about 1477.3186799975.

Adding to 3224204412 its reverse (2144024223), we get a palindrome (5368228635).

The spelling of 3224204412 in words is "three billion, two hundred twenty-four million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 41 44 52 66 78 82 123 132 143 156 164 246 286 429 451 492 533 572 858 902 1066 1353 1599 1716 1804 2132 2706 3198 5412 5863 6396 11726 17589 23452 35178 45827 70356 91654 137481 183308 274962 504097 549924 595751 1008194 1191502 1512291 1787253 1878907 2016388 2383004 3024582 3574506 3757814 5636721 6049164 6553261 7149012 7515628 11273442 13106522 19659783 20667977 22546884 24425791 26213044 39319566 41335954 48851582 62003931 73277373 78639132 82671908 97703164 124007862 146554746 248015724 268683701 293109492 537367402 806051103 1074734804 1612102206 3224204412