Search a number
-
+
332231330211220 = 2251121360131009357
BaseRepresentation
bin100101110001010011010001…
…0011010111010010110010100
31121120100000010122002111221001
41023202212202122322112110
5322021234231013224340
63134332544401433044
7126656631035056126
oct11342464232722624
91546300118074831
10332231330211220
119694a574718a00
12313187a833b784
131134c3842447cb
145c08121705216
15286217537029a
hex12e29a26ba594

332231330211220 has 72 divisors (see below), whose sum is σ = 766884171001032. Its totient is φ = 120810384879360.

The previous prime is 332231330211169. The next prime is 332231330211233. The reversal of 332231330211220 is 22112033132233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 616231280016 + 331615098931204 = 785004^2 + 18210302^2 .

It is a super-2 number, since 2×3322313302112202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328646782 + ... + 329656138.

It is an arithmetic number, because the mean of its divisors is an integer number (10651169041681).

Almost surely, 2332231330211220 is an apocalyptic number.

It is an amenable number.

332231330211220 is an abundant number, since it is smaller than the sum of its proper divisors (434652840789812).

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

332231330211220 is a wasteful number, since it uses less digits than its factorization.

332231330211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145401 (or 1145388 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 332231330211220 its reverse (22112033132233), we get a palindrome (354343363343453).

It can be divided in two parts, 3322313 and 30211220, that added together give a palindrome (33533533).

The spelling of 332231330211220 in words is "three hundred thirty-two trillion, two hundred thirty-one billion, three hundred thirty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 136013 272026 544052 680065 1009357 1360130 1496143 2018714 2720260 2992286 4037428 5046785 5984572 7480715 10093570 11102927 14961430 16457573 20187140 22205854 29922860 32915146 44411708 55514635 65830292 82287865 111029270 122132197 164575730 222058540 244264394 329151460 488528788 610660985 1221321970 2442643940 137285673641 274571347282 549142694564 686428368205 1372856736410 1510142410051 2745713472820 3020284820102 6040569640204 7550712050255 15101424100510 16611566510561 30202848201020 33223133021122 66446266042244 83057832552805 166115665105610 332231330211220