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220333140 = 223255920747
BaseRepresentation
bin11010010001000…
…00010001010100
3120100121002020200
431020200101110
5422401130030
633510300500
75313541446
oct1510402124
9510532220
10220333140
11103410605
1261957730
1336856251
1421396496
1514523d60
hexd220454

220333140 has 72 divisors (see below), whose sum is σ = 679704480. Its totient is φ = 57756864.

The previous prime is 220333121. The next prime is 220333147. The reversal of 220333140 is 41333022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220333147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247 + ... + 20993.

It is an arithmetic number, because the mean of its divisors is an integer number (9440340).

Almost surely, 2220333140 is an apocalyptic number.

220333140 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 220333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339852240).

220333140 is an abundant number, since it is smaller than the sum of its proper divisors (459371340).

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

220333140 is a wasteful number, since it uses less digits than its factorization.

220333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20821 (or 20816 counting only the distinct ones).

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

The square root of 220333140 is about 14843.6228731398. The cubic root of 220333140 is about 603.9856325983.

Adding to 220333140 its reverse (41333022), we get a palindrome (261666162).

The spelling of 220333140 in words is "two hundred twenty million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 20747 41494 62241 82988 103735 124482 186723 207470 248964 311205 373446 414940 622410 746892 933615 1224073 1244820 1867230 2448146 3672219 3734460 4896292 6120365 7344438 11016657 12240730 14688876 18361095 22033314 24481460 36722190 44066628 55083285 73444380 110166570 220333140