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220430250000 = 2432563132
BaseRepresentation
bin1100110101001010101…
…0101011000000010000
3210001222011101220210100
43031102222223000100
512102420121000000
6245133025132400
721632316132042
oct3152252530020
9701864356710
10220430250000
1185536147434
123687978a100
1317a2bb9a0bc
14a9515a3a92
155b01d7ba00
hex3352aab010

220430250000 has 315 divisors, whose sum is σ = 773584805019. Its totient is φ = 58593600000.

The previous prime is 220430249989. The next prime is 220430250017. The reversal of 220430250000 is 52034022.

The square root of 220430250000 is 469500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 39934426896 + 180495823104 = 199836^2 + 424848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 704249844 + ... + 704250156.

Almost surely, 2220430250000 is an apocalyptic number.

220430250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

220430250000 is the 469500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220430250000

220430250000 is an abundant number, since it is smaller than the sum of its proper divisors (553154555019).

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

220430250000 is an frugal number, since it uses more digits than its factorization.

220430250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 220430250000 its reverse (52034022), we get a palindrome (220482284022).

The spelling of 220430250000 in words is "two hundred twenty billion, four hundred thirty million, two hundred fifty thousand".