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220244330000 = 245440935381
BaseRepresentation
bin1100110100011110010…
…1011100011000010000
3210001111012120012111102
43031013211130120100
512102030022030000
6245102344203532
721624600626162
oct3150745343020
9701435505442
10220244330000
1185450200a42
12368274695a8
13179cc502776
14a934a08932
155ae08a43d5
hex334795c610

220244330000 has 100 divisors (see below), whose sum is σ = 533462946588. Its totient is φ = 88059840000.

The previous prime is 220244329961. The next prime is 220244330003. The reversal of 220244330000 is 33442022.

It can be written as a sum of positive squares in 10 ways, for example, as 191535771904 + 28708558096 = 437648^2 + 169436^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (220244330003) 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 19 ways as a sum of consecutive naturals, for example, 40927310 + ... + 40932690.

Almost surely, 2220244330000 is an apocalyptic number.

220244330000 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 220244330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266731473294).

220244330000 is an abundant number, since it is smaller than the sum of its proper divisors (313218616588).

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

220244330000 is an equidigital number, since it uses as much as digits as its factorization.

220244330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 220244330000 its reverse (33442022), we get a palindrome (220277772022).

The spelling of 220244330000 in words is "two hundred twenty billion, two hundred forty-four million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 4093 5000 5381 8186 10000 10762 16372 20465 21524 26905 32744 40930 43048 53810 65488 81860 86096 102325 107620 134525 163720 204650 215240 269050 327440 409300 430480 511625 538100 672625 818600 1023250 1076200 1345250 1637200 2046500 2152400 2558125 2690500 3363125 4093000 5116250 5381000 6726250 8186000 10232500 10762000 13452500 20465000 22024433 26905000 40930000 44048866 53810000 88097732 110122165 176195464 220244330 352390928 440488660 550610825 880977320 1101221650 1761954640 2202443300 2753054125 4404886600 5506108250 8809773200 11012216500 13765270625 22024433000 27530541250 44048866000 55061082500 110122165000 220244330000