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228355712 = 2713373709
BaseRepresentation
bin11011001110001…
…10111010000000
3120220200200010222
431213012322000
5431424340322
634354242212
75441664044
oct1547067200
9526620128
10228355712
111079a0032
1264586368
1338404a30
1422484024
15150aae42
hexd9c6e80

228355712 has 64 divisors (see below), whose sum is σ = 503298600. Its totient is φ = 102518784.

The previous prime is 228355697. The next prime is 228355717. The reversal of 228355712 is 217553822.

It can be written as a sum of positive squares in 4 ways, for example, as 179131456 + 49224256 = 13384^2 + 7016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228355717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59714 + ... + 63422.

Almost surely, 2228355712 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 228355712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251649300).

228355712 is an abundant number, since it is smaller than the sum of its proper divisors (274942888).

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

228355712 is a wasteful number, since it uses less digits than its factorization.

228355712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3761 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 228355712 is about 15111.4430813209. The cubic root of 228355712 is about 611.2290118992.

The spelling of 228355712 in words is "two hundred twenty-eight million, three hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1664 1924 2368 3709 3848 4736 7418 7696 14836 15392 29672 30784 48217 59344 61568 96434 118688 137233 192868 237376 274466 385736 474752 548932 771472 1097864 1542944 1784029 2195728 3085888 3568058 4391456 6171776 7136116 8782912 14272232 17565824 28544464 57088928 114177856 228355712