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228478080 = 2735127937
BaseRepresentation
bin11011001111001…
…00110010000000
3120220220220000010
431213210302000
5431442244310
634401024520
75443013565
oct1547446200
9526826003
10228478080
11107a73a66
1264625140
133844863c
14224b686c
15150d2320
hexd9e4c80

228478080 has 128 divisors (see below), whose sum is σ = 734791680. Its totient is φ = 60383232.

The previous prime is 228478073. The next prime is 228478099. The reversal of 228478080 is 80874822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243372 + ... + 244308.

It is an arithmetic number, because the mean of its divisors is an integer number (5740560).

Almost surely, 2228478080 is an apocalyptic number.

228478080 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 228478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367395840).

228478080 is an abundant number, since it is smaller than the sum of its proper divisors (506313600).

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

228478080 is a wasteful number, since it uses less digits than its factorization.

228478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 228478080 is about 15115.4913912846. The cubic root of 228478080 is about 611.3381712965.

The spelling of 228478080 in words is "two hundred twenty-eight million, four hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 320 381 384 480 508 635 640 762 937 960 1016 1270 1524 1874 1905 1920 2032 2540 2811 3048 3748 3810 4064 4685 5080 5622 6096 7496 7620 8128 9370 10160 11244 12192 14055 14992 15240 16256 18740 20320 22488 24384 28110 29984 30480 37480 40640 44976 48768 56220 59968 60960 74960 81280 89952 112440 118999 119936 121920 149920 179904 224880 237998 243840 299840 356997 359808 449760 475996 594995 599680 713994 899520 951992 1189990 1427988 1784985 1799040 1903984 2379980 2855976 3569970 3807968 4759960 5711952 7139940 7615936 9519920 11423904 14279880 15231872 19039840 22847808 28559760 38079680 45695616 57119520 76159360 114239040 228478080