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228728186370 = 23452477114001
BaseRepresentation
bin1101010100000101000…
…0110010011000000010
3210212101110102202120000
43111001100302120002
512221413403430440
6253024250500430
722345045335255
oct3250120623002
9725343382500
10228728186370
1189004109892
12383b4734716
1318752067918
14b0db66509c
155e3a5c9730
hex3541432602

228728186370 has 80 divisors (see below), whose sum is σ = 615278370168. Its totient is φ = 60969024000.

The previous prime is 228728186359. The next prime is 228728186387. The reversal of 228728186370 is 73681827822.

228728186370 is a `hidden beast` number, since 2 + 28 + 72 + 8 + 186 + 370 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201068837649 + 27659348721 = 448407^2 + 166311^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1949370 + ... + 2063370.

Almost surely, 2228728186370 is an apocalyptic number.

228728186370 is an abundant number, since it is smaller than the sum of its proper divisors (386550183798).

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

228728186370 is a wasteful number, since it uses less digits than its factorization.

228728186370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116497 (or 116488 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 228728186370 in words is "two hundred twenty-eight billion, seven hundred twenty-eight million, one hundred eighty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2477 4954 7431 12385 14862 22293 24770 37155 44586 66879 74310 111465 114001 133758 200637 222930 228002 334395 342003 401274 570005 668790 684006 1003185 1026009 1140010 1710015 2006370 2052018 3078027 3420030 5130045 6156054 9234081 10260090 15390135 18468162 30780270 46170405 92340810 282380477 564760954 847141431 1411902385 1694282862 2541424293 2823804770 4235707155 5082848586 7624272879 8471414310 12707121465 15248545758 22872818637 25414242930 38121364395 45745637274 76242728790 114364093185 228728186370