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228799065800 = 235214922272
BaseRepresentation
bin1101010100010101111…
…1001010111011001000
3210212120101210210212002
43111011133022323020
512222040030101200
6253035302010132
722346565653654
oct3250537127310
9725511723762
10228799065800
1189040120628
1238414416948
1318763953806
14b106c35a64
155e4192abd5
hex35457caec8

228799065800 has 108 divisors (see below), whose sum is σ = 537921628755. Its totient is φ = 90504936320.

The previous prime is 228799065757. The next prime is 228799065821. The reversal of 228799065800 is 8560997822.

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 5 ways, for example, as 9705796324 + 219093269476 = 98518^2 + 468074^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338230.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1007925287 + ... + 1007925513.

Almost surely, 2228799065800 is an apocalyptic number.

228799065800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228799065800

228799065800 is an abundant number, since it is smaller than the sum of its proper divisors (309122562955).

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

228799065800 is an equidigital number, since it uses as much as digits as its factorization.

228799065800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 228799065800 in words is "two hundred twenty-eight billion, seven hundred ninety-nine million, sixty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 227 298 454 596 745 908 1135 1192 1490 1816 2270 2980 3725 4540 5675 5960 7450 9080 11350 14900 22201 22700 29800 33823 44402 45400 51529 67646 88804 103058 111005 135292 169115 177608 206116 222010 257645 270584 338230 412232 444020 515290 555025 676460 845575 888040 1030580 1110050 1288225 1352920 1691150 2061160 2220100 2576450 3382300 4440200 5039627 5152900 6764600 7677821 10079254 10305800 15355642 20158508 25198135 30711284 38389105 40317016 50396270 61422568 76778210 100792540 125990675 153556420 191945525 201585080 251981350 307112840 383891050 503962700 767782100 1007925400 1143995329 1535564200 2287990658 4575981316 5719976645 9151962632 11439953290 22879906580 28599883225 45759813160 57199766450 114399532900 228799065800