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228288188480 = 26511371752827
BaseRepresentation
bin1101010010011100001…
…0010101000001000000
3210211020210111112220212
43110213002111001000
512220013234012410
6252512452053252
722331123404502
oct3244702250100
9724223445825
10228288188480
11888a8804970
12382b1304228
13186b1b60741
14b09904bd72
155e11b64b05
hex3527095040

228288188480 has 112 divisors (see below), whose sum is σ = 609058650816. Its totient is φ = 80770222080.

The previous prime is 228288188461. The next prime is 228288188539. The reversal of 228288188480 is 84881882822.

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 15 ways as a sum of consecutive naturals, for example, 746174 + ... + 1006653.

It is an arithmetic number, because the mean of its divisors is an integer number (5438023668).

Almost surely, 2228288188480 is an apocalyptic number.

228288188480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228288188480 is an abundant number, since it is smaller than the sum of its proper divisors (380770462336).

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

228288188480 is a wasteful number, since it uses less digits than its factorization.

228288188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752892 (or 1752882 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 59.

The spelling of 228288188480 in words is "two hundred twenty-eight billion, two hundred eighty-eight million, one hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 176 185 220 296 320 352 370 407 440 592 704 740 814 880 1184 1480 1628 1760 2035 2368 2960 3256 3520 4070 5920 6512 8140 11840 13024 16280 26048 32560 65120 130240 1752827 3505654 7011308 8764135 14022616 17528270 19281097 28045232 35056540 38562194 56090464 64854599 70113080 77124388 96405485 112180928 129709198 140226160 154248776 192810970 259418396 280452320 308497552 324272995 385621940 518836792 560904640 616995104 648545990 713400589 771243880 1037673584 1233990208 1297091980 1426801178 1542487760 2075347168 2594183960 2853602356 3084975520 3567002945 4150694336 5188367920 5707204712 6169951040 7134005890 10376735840 11414409424 14268011780 20753471680 22828818848 28536023560 45657637696 57072047120 114144094240 228288188480