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24228064 = 257108161
BaseRepresentation
bin101110001101…
…1000011100000
31200120220122201
41130123003200
522200244224
62223142544
7412635520
oct134330340
950526581
1024228064
11127489a3
128144a54
135033a43
143309680
1521d8a44
hex171b0e0

24228064 has 24 divisors (see below), whose sum is σ = 54513648. Its totient is φ = 10383360.

The previous prime is 24228053. The next prime is 24228067. The reversal of 24228064 is 46082242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24228067) 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 3 ways as a sum of consecutive naturals, for example, 53857 + ... + 54304.

It is an arithmetic number, because the mean of its divisors is an integer number (2271402).

Almost surely, 224228064 is an apocalyptic number.

It is an amenable number.

24228064 is an abundant number, since it is smaller than the sum of its proper divisors (30285584).

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

24228064 is a wasteful number, since it uses less digits than its factorization.

24228064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108178 (or 108170 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 24228064 is about 4922.2011336393. The cubic root of 24228064 is about 289.3607162363.

The spelling of 24228064 in words is "twenty-four million, two hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 108161 216322 432644 757127 865288 1514254 1730576 3028508 3461152 6057016 12114032 24228064