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228777330240576 = 26321330552528077
BaseRepresentation
bin110100000001001001011111…
…100000000110110001000000
31010000000220021111110121101200
4310001021133200012301000
5214441241433020144301
62130322504332301200
766121421341360635
oct6401113740066100
91100026244417350
10228777330240576
1166993a14787547
12217aa6b5011800
139a867c05ac6b0
14406cc4bba018c
151b6b053d51c86
hexd0125f806c40

228777330240576 has 84 divisors (see below), whose sum is σ = 706191133994892. Its totient is φ = 70393024687104.

The previous prime is 228777330240509. The next prime is 228777330240581. The reversal of 228777330240576 is 675042033777822.

It is a happy number.

228777330240576 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 7 + 7 + 3 + 30 + 24 + 0 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99881635046400 + 128895695194176 = 9994080^2 + 11353224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15276256551 + ... + 15276271526.

It is an arithmetic number, because the mean of its divisors is an integer number (8407037309463).

Almost surely, 2228777330240576 is an apocalyptic number.

228777330240576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

228777330240576 is an abundant number, since it is smaller than the sum of its proper divisors (477413803754316).

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

228777330240576 is a wasteful number, since it uses less digits than its factorization.

228777330240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30552528108 (or 30552528095 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 63.

The spelling of 228777330240576 in words is "two hundred twenty-eight trillion, seven hundred seventy-seven billion, three hundred thirty million, two hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 30552528077 61105056154 91657584231 122210112308 183315168462 244420224616 274972752693 366630336924 397182865001 488840449232 549945505386 733260673848 794365730002 977680898464 1099891010772 1191548595003 1466521347696 1588731460004 1955361796928 2199782021544 2383097190006 2933042695392 3177462920008 3574645785009 4399564043088 4766194380012 5866085390784 6354925840016 7149291570018 8799128086176 9532388760024 12709851680032 14298583140036 17598256172352 19064777520048 25419703360064 28597166280072 38129555040096 57194332560144 76259110080192 114388665120288 228777330240576