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2331221220 = 22325171495113
BaseRepresentation
bin1000101011110011…
…1001110011100100
320000110121022022200
42022330321303210
514233243034340
61023154054500
7111525024216
oct21274716344
96013538280
102331221220
11a96a06009
1255087a430
132b1c86c53
141818785b6
15d99dc330
hex8af39ce4

2331221220 has 144 divisors (see below), whose sum is σ = 7539058800. Its totient is φ = 581050368.

The previous prime is 2331221213. The next prime is 2331221227. The reversal of 2331221220 is 221221332.

It is an interprime number because it is at equal distance from previous prime (2331221213) and next prime (2331221227).

It can be written as a sum of positive squares in 8 ways, for example, as 505710144 + 1825511076 = 22488^2 + 42726^2 .

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 = 2331221193 and 2331221202.

It is not an unprimeable number, because it can be changed into a prime (2331221227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453384 + ... + 458496.

It is an arithmetic number, because the mean of its divisors is an integer number (52354575).

Almost surely, 22331221220 is an apocalyptic number.

2331221220 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 2331221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769529400).

2331221220 is an abundant number, since it is smaller than the sum of its proper divisors (5207837580).

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

2331221220 is a wasteful number, since it uses less digits than its factorization.

2331221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2331221220 is about 48282.7217542673. The cubic root of 2331221220 is about 1325.9520808765.

Adding to 2331221220 its reverse (221221332), we get a palindrome (2552442552).

The spelling of 2331221220 in words is "two billion, three hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 149 153 170 180 204 255 298 306 340 447 510 596 612 745 765 894 1020 1341 1490 1530 1788 2235 2533 2682 2980 3060 4470 5066 5113 5364 6705 7599 8940 10132 10226 12665 13410 15198 15339 20452 22797 25330 25565 26820 30396 30678 37995 45594 46017 50660 51130 61356 75990 76695 86921 91188 92034 102260 113985 151980 153390 173842 184068 227970 230085 260763 306780 347684 434605 455940 460170 521526 761837 782289 869210 920340 1043052 1303815 1523674 1564578 1738420 2285511 2607630 3047348 3129156 3809185 3911445 4571022 5215260 6856533 7618370 7822890 9142044 11427555 12951229 13713066 15236740 15645780 22855110 25902458 27426132 34282665 38853687 45710220 51804916 64756145 68565330 77707374 116561061 129512290 137130660 155414748 194268435 233122122 259024580 388536870 466244244 582805305 777073740 1165610610 2331221220