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220210230020 = 225114143599623
BaseRepresentation
bin1100110100010110001…
…1010111001100000100
3210001101211101202010012
43031011203113030010
512101442304330040
6245055125245352
721624005033264
oct3150543271404
9701354352105
10220210230020
1185432a30140
1236817b63858
13179c5423571
14a93028d7a4
155adc8ba865
hex33458d7304

220210230020 has 192 divisors, whose sum is σ = 537822996480. Its totient is φ = 75005414400.

The previous prime is 220210230011. The next prime is 220210230041. The reversal of 220210230020 is 20032012022.

It is a super-2 number, since 2×2202102300202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220210229977 and 220210230004.

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 63 ways as a sum of consecutive naturals, for example, 22878929 + ... + 22888551.

It is an arithmetic number, because the mean of its divisors is an integer number (2801161440).

Almost surely, 2220210230020 is an apocalyptic number.

220210230020 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 220210230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268911498240).

220210230020 is an abundant number, since it is smaller than the sum of its proper divisors (317612766460).

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

220210230020 is a wasteful number, since it uses less digits than its factorization.

220210230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 220210230020 its reverse (20032012022), we get a palindrome (240242242042).

The spelling of 220210230020 in words is "two hundred twenty billion, two hundred ten million, two hundred thirty thousand, twenty".