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220033330020 = 2232571719577937
BaseRepresentation
bin1100110011101100000…
…0100010101101100100
3210000221111112021221100
43030323000202231210
512101112013030040
6245025405520100
721616426305660
oct3147300425544
9700844467840
10220033330020
1185352095599
1236788873030
13179978966ca
14a9149a18a0
155acc0c5b30
hex333b022b64

220033330020 has 576 divisors, whose sum is σ = 852542046720. Its totient is φ = 44718096384.

The previous prime is 220033330019. The next prime is 220033330073. The reversal of 220033330020 is 20033330022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220033329975 and 220033330002.

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 191 ways as a sum of consecutive naturals, for example, 234826992 + ... + 234827928.

It is an arithmetic number, because the mean of its divisors is an integer number (1480107720).

Almost surely, 2220033330020 is an apocalyptic number.

220033330020 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 220033330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426271023360).

220033330020 is an abundant number, since it is smaller than the sum of its proper divisors (632508716700).

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

220033330020 is a wasteful number, since it uses less digits than its factorization.

220033330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 220033330020 its reverse (20033330022), we get a palindrome (240066660042).

The spelling of 220033330020 in words is "two hundred twenty billion, thirty-three million, three hundred thirty thousand, twenty".