Search a number
-
+
331144220220 = 2235113116184957
BaseRepresentation
bin1001101000110011011…
…10111100111000111100
31011122202000021100011220
410310121232330320330
520411140410021340
6412043041513340
732632030300242
oct4643156747074
91148660240156
10331144220220
1111848a308980
1254217642850
13252c4288098
141205551a792
1589319a5ed0
hex4d19bbce3c

331144220220 has 96 divisors (see below), whose sum is σ = 1044124010496. Its totient is φ = 77687788800.

The previous prime is 331144220207. The next prime is 331144220257. The reversal of 331144220220 is 22022441133.

It is a happy number.

It is a super-2 number, since 2×3311442202202 (a number of 24 digits) contains 22 as substring.

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, 8072019 + ... + 8112938.

It is an arithmetic number, because the mean of its divisors is an integer number (10876291776).

Almost surely, 2331144220220 is an apocalyptic number.

331144220220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331144220220 is an abundant number, since it is smaller than the sum of its proper divisors (712979790276).

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

331144220220 is a wasteful number, since it uses less digits than its factorization.

331144220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16185011 (or 16185009 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 331144220220 its reverse (22022441133), we get a palindrome (353166661353).

The spelling of 331144220220 in words is "three hundred thirty-one billion, one hundred forty-four million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 16184957 32369914 48554871 64739828 80924785 97109742 161849570 178034527 194219484 242774355 323699140 356069054 485548710 501733667 534103581 712138108 890172635 971097420 1003467334 1068207162 1505201001 1780345270 2006934668 2136414324 2508668335 2670517905 3010402002 3560690540 5017336670 5341035810 5519070337 6020804004 7526005005 10034673340 10682071620 11038140674 15052010010 16557211011 22076281348 27595351685 30104020020 33114422022 55190703370 66228844044 82786055055 110381406740 165572110110 331144220220