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607220064 = 25351131229
BaseRepresentation
bin100100001100010…
…111000101100000
31120022120222100000
4210030113011200
52220422020224
6140130500000
721022166613
oct4414270540
91508528300
10607220064
1129183a470
1214b434600
1398a56019
145a90617a
15384970c9
hex24317160

607220064 has 288 divisors, whose sum is σ = 2025354240. Its totient is φ = 177292800.

The previous prime is 607220063. The next prime is 607220111. The reversal of 607220064 is 460022706.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6072200642 = 737432412248328192, 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 not an unprimeable number, because it can be changed into a prime (607220063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651502 + ... + 2651730.

It is an arithmetic number, because the mean of its divisors is an integer number (7032480).

Almost surely, 2607220064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 607220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012677120).

607220064 is an abundant number, since it is smaller than the sum of its proper divisors (1418134176).

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

607220064 is a wasteful number, since it uses less digits than its factorization.

607220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 607220064 is about 24641.8356459092. The cubic root of 607220064 is about 846.8023171855.

The spelling of 607220064 in words is "six hundred seven million, two hundred twenty thousand, sixty-four".