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228026880 = 293353299
BaseRepresentation
bin11011001011101…
…10101000000000
3120220001222002000
431211312220000
5431333330010
634343224000
75436124254
oct1545665000
9526058060
10228026880
11107795a74
1264448000
133831b163
14223da264
15150437c0
hexd976a00

228026880 has 160 divisors (see below), whose sum is σ = 810216000. Its totient is φ = 60788736.

The previous prime is 228026879. The next prime is 228026927. The reversal of 228026880 is 88620822.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 67471 + ... + 70769.

It is an arithmetic number, because the mean of its divisors is an integer number (5063850).

Almost surely, 2228026880 is an apocalyptic number.

228026880 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 228026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405108000).

228026880 is an abundant number, since it is smaller than the sum of its proper divisors (582189120).

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

228026880 is an equidigital number, since it uses as much as digits as its factorization.

228026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 228026880 is about 15100.5589300529. The cubic root of 228026880 is about 610.9354812347.

The spelling of 228026880 in words is "two hundred twenty-eight million, twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3299 3456 3840 4320 4608 5760 6598 6912 7680 8640 9897 11520 13196 13824 16495 17280 19794 23040 26392 29691 32990 34560 39588 49485 52784 59382 65980 69120 79176 89073 98970 105568 118764 131960 148455 158352 178146 197940 211136 237528 263920 296910 316704 356292 395880 422272 445365 475056 527840 593820 633408 712584 791760 844544 890730 950112 1055680 1187640 1266816 1425168 1583520 1689088 1781460 1900224 2111360 2375280 2533632 2850336 3167040 3562920 3800448 4222720 4750560 5067264 5700672 6334080 7125840 7600896 8445440 9501120 11401344 12668160 14251680 15201792 19002240 22802688 25336320 28503360 38004480 45605376 57006720 76008960 114013440 228026880