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660022020 = 22365729223
BaseRepresentation
bin100111010101110…
…010001100000100
31200222221121000000
4213111302030010
52322431201040
6145254321300
722233044310
oct4725621404
91628847000
10660022020
11309624349
12165059230
13a6982898
146392cb40
153ce27130
hex27572304

660022020 has 336 divisors, whose sum is σ = 2467906560. Its totient is φ = 145006848.

The previous prime is 660021997. The next prime is 660022079. The reversal of 660022020 is 20220066.

660022020 is a `hidden beast` number, since 660 + 0 + 2 + 2 + 0 + 2 + 0 = 666.

660022020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 660021984 and 660022002.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 2959629 + ... + 2959851.

It is an arithmetic number, because the mean of its divisors is an integer number (7344960).

Almost surely, 2660022020 is an apocalyptic number.

660022020 is a gapful number since it is divisible by the number (60) 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 660022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233953280).

660022020 is an abundant number, since it is smaller than the sum of its proper divisors (1807884540).

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

660022020 is a wasteful number, since it uses less digits than its factorization.

660022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 660022020 is about 25690.8937174245. The cubic root of 660022020 is about 870.6684517905.

Adding to 660022020 its reverse (20220066), we get a palindrome (680242086).

The spelling of 660022020 in words is "six hundred sixty million, twenty-two thousand, twenty".