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2214052064 = 25721974317
BaseRepresentation
bin1000001111110111…
…1100000011100000
312201022010111110022
42003331330003200
514013244131224
61003410453012
7105603063200
oct20375740340
95638114408
102214052064
11a368580a4
12519594168
132939116a3
14170098400
15ce59565e
hex83f7c0e0

2214052064 has 72 divisors (see below), whose sum is σ = 5337518760. Its totient is φ = 898926336.

The previous prime is 2214052037. The next prime is 2214052073. The reversal of 2214052064 is 4602504122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7367 + ... + 66950.

It is an arithmetic number, because the mean of its divisors is an integer number (74132205).

Almost surely, 22214052064 is an apocalyptic number.

It is an amenable number.

2214052064 is an abundant number, since it is smaller than the sum of its proper divisors (3123466696).

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

2214052064 is a wasteful number, since it uses less digits than its factorization.

2214052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74360 (or 74345 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2214052064 is about 47053.7146673884. The cubic root of 2214052064 is about 1303.3546620500.

Adding to 2214052064 its reverse (4602504122), we get a palindrome (6816556186).

The spelling of 2214052064 in words is "two billion, two hundred fourteen million, fifty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 29792 74317 148634 297268 520219 594536 1040438 1189072 1412023 2080876 2378144 2824046 3641533 4161752 5648092 7283066 8323504 9884161 11296184 14566132 16647008 19768322 22592368 29132264 39536644 45184736 58264528 69189127 79073288 116529056 138378254 158146576 276756508 316293152 553513016 1107026032 2214052064