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228477184128 = 2732140832
BaseRepresentation
bin1101010011001001001…
…1010010100010000000
3210211201222010112012200
43110302103102202000
512220410124343003
6252543322553200
722335610010304
oct3246223224200
9724658115180
10228477184128
1188995461116
1238344668800
1318712063c9b
14b0b61a7d04
155e235486a3
hex35324d2880

228477184128 has 72 divisors (see below), whose sum is σ = 657513585495. Its totient is φ = 76153653504.

The previous prime is 228477184097. The next prime is 228477184129. The reversal of 228477184128 is 821481774822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114238592064 + 114238592064 = 337992^2 + 337992^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337992.

It is a super-3 number, since 3×2284771841283 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (228477184129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16216575 + ... + 16230657.

Almost surely, 2228477184128 is an apocalyptic number.

It is an amenable number.

228477184128 is an abundant number, since it is smaller than the sum of its proper divisors (429036401367).

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

228477184128 is an frugal number, since it uses more digits than its factorization.

228477184128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28186 (or 14088 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The spelling of 228477184128 in words is "two hundred twenty-eight billion, four hundred seventy-seven million, one hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14083 28166 42249 56332 84498 112664 126747 168996 225328 253494 337992 450656 506988 675984 901312 1013976 1351968 1802624 2027952 2703936 4055904 5407872 8111808 16223616 198330889 396661778 594992667 793323556 1189985334 1586647112 1784978001 2379970668 3173294224 3569956002 4759941336 6346588448 7139912004 9519882672 12693176896 14279824008 19039765344 25386353792 28559648016 38079530688 57119296032 76159061376 114238592064 228477184128