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220140300 = 223523123671
BaseRepresentation
bin11010001111100…
…01001100001100
3120100020021201110
431013301030030
5422323442200
633502212020
75312106312
oct1507611414
9510207643
10220140300
11103299736
1261884010
13367b9543
14213460b2
15144d6b50
hexd1f130c

220140300 has 72 divisors (see below), whose sum is σ = 657513472. Its totient is φ = 56808000.

The previous prime is 220140299. The next prime is 220140301. The reversal of 220140300 is 3041022.

It is an interprime number because it is at equal distance from previous prime (220140299) and next prime (220140301).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220140301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2536 + ... + 21135.

Almost surely, 2220140300 is an apocalyptic number.

220140300 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 220140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328756736).

220140300 is an abundant number, since it is smaller than the sum of its proper divisors (437373172).

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

220140300 is a wasteful number, since it uses less digits than its factorization.

220140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23719 (or 23712 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220140300 is about 14837.1257324321. The cubic root of 220140300 is about 603.8093743716.

Adding to 220140300 its reverse (3041022), we get a palindrome (223181322).

The spelling of 220140300 in words is "two hundred twenty million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 23671 47342 71013 94684 118355 142026 236710 284052 355065 473420 591775 710130 733801 1183550 1420260 1467602 1775325 2201403 2367100 2935204 3550650 3669005 4402806 7101300 7338010 8805612 11007015 14676020 18345025 22014030 36690050 44028060 55035075 73380100 110070150 220140300