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1220066064 = 2437717293
BaseRepresentation
bin100100010111000…
…1011101100010000
310011000202210000000
41020232023230100
54444314103224
6321022130000
742143250630
oct11056135420
93130683000
101220066064
11576771768
122a0720900
131659cb9a9
14b80746c0
15721a10c9
hex48b8bb10

1220066064 has 320 divisors, whose sum is σ = 4304724480. Its totient is φ = 326965248.

The previous prime is 1220066051. The next prime is 1220066077. The reversal of 1220066064 is 4606600221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220066051) and next prime (1220066077).

It is a super-2 number, since 2×12200660642 = 2977122401048904192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4163902 + ... + 4164194.

It is an arithmetic number, because the mean of its divisors is an integer number (13452264).

Almost surely, 21220066064 is an apocalyptic number.

1220066064 is a gapful number since it is divisible by the number (14) 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 1220066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152362240).

1220066064 is an abundant number, since it is smaller than the sum of its proper divisors (3084658416).

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

1220066064 is an equidigital number, since it uses as much as digits as its factorization.

1220066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1220066064 is about 34929.4440837526. Note that the first 3 decimals coincide. The cubic root of 1220066064 is about 1068.5490170543.

Adding to 1220066064 its reverse (4606600221), we get a palindrome (5826666285).

The spelling of 1220066064 in words is "one billion, two hundred twenty million, sixty-six thousand, sixty-four".