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220312000332 = 223316318169143
BaseRepresentation
bin1100110100101110011…
…1100101011101001100
3210001122220220012202000
43031023213211131030
512102144333002312
6245113202432300
721626352050604
oct3151347453514
9701586805660
10220312000332
1185485420736
1236846062690
1317a10536a98
14a93d9c1c04
155ae67beadc
hex334b9e574c

220312000332 has 96 divisors (see below), whose sum is σ = 577866831360. Its totient is φ = 72582505920.

The previous prime is 220312000331. The next prime is 220312000369. The reversal of 220312000332 is 233000213022.

It is a happy number.

220312000332 is a `hidden beast` number, since 2 + 20 + 312 + 0 + 0 + 0 + 332 = 666.

It is a super-2 number, since 2×2203120003322 (a number of 23 digits) contains 22 as substring.

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 (220312000331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3151753 + ... + 3220895.

It is an arithmetic number, because the mean of its divisors is an integer number (6019446160).

Almost surely, 2220312000332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220312000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288933415680).

220312000332 is an abundant number, since it is smaller than the sum of its proper divisors (357554831028).

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

220312000332 is a wasteful number, since it uses less digits than its factorization.

220312000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69500 (or 69492 counting only the distinct ones).

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

Adding to 220312000332 its reverse (233000213022), we get a palindrome (453312213354).

The spelling of 220312000332 in words is "two hundred twenty billion, three hundred twelve million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 181 326 362 489 543 652 724 978 1086 1467 1629 1956 2172 2934 3258 4401 4887 5868 6516 8802 9774 17604 19548 29503 59006 69143 88509 118012 138286 177018 207429 265527 276572 354036 414858 531054 622287 796581 829716 1062108 1244574 1593162 1866861 2489148 3186324 3733722 7467444 11270309 12514883 22540618 25029766 33810927 37544649 45081236 50059532 67621854 75089298 101432781 112633947 135243708 150178596 202865562 225267894 304298343 337901841 405731124 450535788 608596686 675803682 1217193372 1351607364 2039925929 4079851858 6119777787 8159703716 12239555574 18359333361 24479111148 36718666722 55078000083 73437333444 110156000166 220312000332