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228130816 = 216592
BaseRepresentation
bin11011001100100…
…00000000000000
3120220021020122111
431212100000000
5431400141231
634345345104
75440036264
oct1546200000
9526236574
10228130816
11107857071
1264498194
1338356564
14224260a4
15150644b1
hexd990000

228130816 has 51 divisors (see below), whose sum is σ = 464122411. Its totient is φ = 112132096.

The previous prime is 228130801. The next prime is 228130817. The reversal of 228130816 is 618031822.

The square root of 228130816 is 15104.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (228130817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3866595 + ... + 3866653.

Almost surely, 2228130816 is an apocalyptic number.

228130816 is the 15104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228130816

228130816 is an abundant number, since it is smaller than the sum of its proper divisors (235991595).

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

228130816 is an frugal number, since it uses more digits than its factorization.

228130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 228130816 is about 611.0282898033.

It can be divided in two parts, 228 and 130816, that added together give a square (131044 = 3622).

The spelling of 228130816 in words is "two hundred twenty-eight million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 2048 3481 3776 4096 6962 7552 8192 13924 15104 16384 27848 30208 32768 55696 60416 65536 111392 120832 222784 241664 445568 483328 891136 966656 1782272 1933312 3564544 3866624 7129088 14258176 28516352 57032704 114065408 228130816