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220212030000 = 2435443170707
BaseRepresentation
bin1100110100010110101…
…0001110101000110000
3210001101221210012020010
43031011222032220300
512101443234430000
6245055232014520
721624026241114
oct3150552165060
9701357705203
10220212030000
1185433a4a526
1236818691440
13179c5903941
14a9305db744
155adcb23d50
hex3345a8ea30

220212030000 has 200 divisors, whose sum is σ = 727410004288. Its totient is φ = 57357216000.

The previous prime is 220212029981. The next prime is 220212030013. The reversal of 220212030000 is 30212022.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1204647 + ... + 1375353.

Almost surely, 2220212030000 is an apocalyptic number.

220212030000 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 220212030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363705002144).

220212030000 is an abundant number, since it is smaller than the sum of its proper divisors (507197974288).

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

220212030000 is a wasteful number, since it uses less digits than its factorization.

220212030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170781 (or 170760 counting only the distinct ones).

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

Adding to 220212030000 its reverse (30212022), we get a palindrome (220242242022).

The spelling of 220212030000 in words is "two hundred twenty billion, two hundred twelve million, thirty thousand".