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2220672064 = 26132669077
BaseRepresentation
bin1000010001011100…
…1100010001000000
312201202120211101111
42010113030101000
514021443001224
61004204413104
7106013254402
oct20427142100
95652524344
102220672064
11a3a569876
1251b847194
132950bb950
14170cdcb72
15cee51d94
hex845cc440

2220672064 has 28 divisors (see below), whose sum is σ = 4745620684. Its totient is φ = 1024925184.

The previous prime is 2220672061. The next prime is 2220672079. The reversal of 2220672064 is 4602760222.

It can be written as a sum of positive squares in 2 ways, for example, as 594969664 + 1625702400 = 24392^2 + 40320^2 .

It is not an unprimeable number, because it can be changed into a prime (2220672061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1333707 + ... + 1335370.

It is an arithmetic number, because the mean of its divisors is an integer number (169486453).

Almost surely, 22220672064 is an apocalyptic number.

It is an amenable number.

2220672064 is an abundant number, since it is smaller than the sum of its proper divisors (2524948620).

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

2220672064 is a wasteful number, since it uses less digits than its factorization.

2220672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669102 (or 2669092 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2220672064 is about 47124.0072998891. The cubic root of 2220672064 is about 1304.6523765937.

The spelling of 2220672064 in words is "two billion, two hundred twenty million, six hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2669077 5338154 10676308 21352616 34698001 42705232 69396002 85410464 138792004 170820928 277584008 555168016 1110336032 2220672064