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228544064 = 267618363
BaseRepresentation
bin11011001111101…
…00111001000000
3120221001020111222
431213310321000
5432001402224
634402254212
75443410140
oct1547647100
9527036458
10228544064
111080095a1
1264657368
133846c698
14224d2920
15150e6b5e
hexd9f4e40

228544064 has 56 divisors (see below), whose sum is σ = 526865088. Its totient is φ = 96330240.

The previous prime is 228544051. The next prime is 228544133. The reversal of 228544064 is 460445822.

228544064 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 (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23147 + ... + 31509.

Almost surely, 2228544064 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 228544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263432544).

228544064 is an abundant number, since it is smaller than the sum of its proper divisors (298321024).

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

228544064 is an equidigital number, since it uses as much as digits as its factorization.

228544064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 228544064 is about 15117.6738951467. The cubic root of 228544064 is about 611.3970167013.

Adding to 228544064 its reverse (460445822), we get a palindrome (688989886).

The spelling of 228544064 in words is "two hundred twenty-eight million, five hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 6832 8363 13664 16726 27328 33452 58541 66904 117082 133808 234164 267616 468328 510143 535232 936656 1020286 1873312 2040572 3571001 3746624 4081144 7142002 8162288 14284004 16324576 28568008 32649152 57136016 114272032 228544064