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2331302220 = 22325133732671
BaseRepresentation
bin1000101011110100…
…1101100101001100
320000110202102102200
42022331031211030
514233303132340
61023155521500
7111525512322
oct21275154514
96013672380
102331302220
11a96a60955
125508b9290
132b1cb4a90
14181899d12
15d9a06330
hex8af4d94c

2331302220 has 144 divisors (see below), whose sum is σ = 7638863232. Its totient is φ = 572106240.

The previous prime is 2331302213. The next prime is 2331302227. The reversal of 2331302220 is 222031332.

It is a happy number.

2331302220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2331302213) and next prime (2331302227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2331302193 and 2331302202.

It is not an unprimeable number, because it can be changed into a prime (2331302227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871485 + ... + 874155.

Almost surely, 22331302220 is an apocalyptic number.

2331302220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819431616).

2331302220 is an abundant number, since it is smaller than the sum of its proper divisors (5307561012).

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

2331302220 is a wasteful number, since it uses less digits than its factorization.

2331302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2331302220 is about 48283.5605563633. The cubic root of 2331302220 is about 1325.9674377595.

Adding to 2331302220 its reverse (222031332), we get a palindrome (2553333552).

The spelling of 2331302220 in words is "two billion, three hundred thirty-one million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 373 390 468 585 746 780 1119 1170 1492 1865 2238 2340 2671 3357 3730 4476 4849 5342 5595 6714 7460 8013 9698 10684 11190 13355 13428 14547 16026 16785 19396 22380 24039 24245 26710 29094 32052 33570 34723 40065 43641 48078 48490 53420 58188 67140 69446 72735 80130 87282 96156 96980 104169 120195 138892 145470 160260 173615 174564 208338 218205 240390 290940 312507 347230 416676 436410 480780 520845 625014 694460 872820 996283 1041690 1250028 1562535 1992566 2083380 2988849 3125070 3985132 4981415 5977698 6250140 8966547 9962830 11955396 12951679 14944245 17933094 19925660 25903358 29888490 35866188 38855037 44832735 51806716 59776980 64758395 77710074 89665470 116565111 129516790 155420148 179330940 194275185 233130222 259033580 388550370 466260444 582825555 777100740 1165651110 2331302220