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2231220330 = 234512892137
BaseRepresentation
bin1000010011111101…
…1011100001101010
312202111102201220000
42010333123201222
514032143022310
61005222443430
7106202026353
oct20477334152
95674381800
102231220330
11a45513949
12523293576
13297342c21
14172486d2a
15d0d374c0
hex84fdb86a

2231220330 has 80 divisors (see below), whose sum is σ = 6006967560. Its totient is φ = 594252288.

The previous prime is 2231220323. The next prime is 2231220337. The reversal of 2231220330 is 330221322.

It is a happy number.

2231220330 is a `hidden beast` number, since 2 + 2 + 312 + 20 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (2231220323) and next prime (2231220337).

It can be written as a sum of positive squares in 4 ways, for example, as 1558907289 + 672313041 = 39483^2 + 25929^2 .

It is a super-3 number, since 3×22312203303 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2231220337) 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 39 ways as a sum of consecutive naturals, for example, 1043022 + ... + 1045158.

Almost surely, 22231220330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003483780).

2231220330 is an abundant number, since it is smaller than the sum of its proper divisors (3775747230).

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

2231220330 is a wasteful number, since it uses less digits than its factorization.

2231220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3436 counting only the distinct ones).

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

The square root of 2231220330 is about 47235.7950075999. The cubic root of 2231220330 is about 1306.7148284894.

Adding to 2231220330 its reverse (330221322), we get a palindrome (2561441652).

The spelling of 2231220330 in words is "two billion, two hundred thirty-one million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1289 2137 2578 3867 4274 6411 6445 7734 10685 11601 12822 12890 19233 19335 21370 23202 32055 34803 38466 38670 57699 58005 64110 69606 96165 104409 115398 116010 173097 174015 192330 208818 288495 346194 348030 522045 576990 865485 1044090 1730970 2754593 5509186 8263779 13772965 16527558 24791337 27545930 41318895 49582674 74374011 82637790 123956685 148748022 223122033 247913370 371870055 446244066 743740110 1115610165 2231220330