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2267064 = 233223372
BaseRepresentation
bin1000101001011110111000
311021011211100
420221132320
51040021224
6120331400
725161342
oct10513670
94234740
102267064
111309308
12913b60
13614b77
14430292
152ebac9
hex2297b8

2267064 has 72 divisors (see below), whose sum is σ = 6584760. Its totient is φ = 703296.

The previous prime is 2267053. The next prime is 2267071. The reversal of 2267064 is 4607622.

2267064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 61254 + ... + 61290.

It is an arithmetic number, because the mean of its divisors is an integer number (91455).

22267064 is an apocalyptic number.

2267064 is a gapful number since it is divisible by the number (24) 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 2267064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292380).

2267064 is an abundant number, since it is smaller than the sum of its proper divisors (4317696).

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

2267064 is a wasteful number, since it uses less digits than its factorization.

2267064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

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

The square root of 2267064 is about 1505.6772562538. The cubic root of 2267064 is about 131.3674975037.

The spelling of 2267064 in words is "two million, two hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 37 46 69 72 74 92 111 138 148 184 207 222 276 296 333 414 444 552 666 828 851 888 1332 1369 1656 1702 2553 2664 2738 3404 4107 5106 5476 6808 7659 8214 10212 10952 12321 15318 16428 20424 24642 30636 31487 32856 49284 61272 62974 94461 98568 125948 188922 251896 283383 377844 566766 755688 1133532 2267064