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226576980 = 22335728563
BaseRepresentation
bin11011000000101…
…00101001010100
3120210100022012000
431200110221110
5431000430410
634252155300
75420605200
oct1540245124
9523308160
10226576980
11106995703
1263a68b30
1337c31226
142213db00
1514d58dc0
hexd814a54

226576980 has 144 divisors (see below), whose sum is σ = 820088640. Its totient is φ = 51782976.

The previous prime is 226576963. The next prime is 226576991. The reversal of 226576980 is 89675622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22179 + ... + 30741.

It is an arithmetic number, because the mean of its divisors is an integer number (5695060).

Almost surely, 2226576980 is an apocalyptic number.

226576980 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 226576980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410044320).

226576980 is an abundant number, since it is smaller than the sum of its proper divisors (593511660).

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

226576980 is a wasteful number, since it uses less digits than its factorization.

226576980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 226576980 is about 15052.4742152246. The cubic root of 226576980 is about 609.6378572497.

The spelling of 226576980 in words is "two hundred twenty-six million, five hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8563 8820 13230 17126 25689 26460 34252 42815 51378 59941 77067 85630 102756 119882 128445 154134 171260 179823 231201 239764 256890 299705 308268 359646 385335 419587 462402 513780 539469 599410 719292 770670 839174 899115 924804 1078938 1156005 1198820 1258761 1541340 1618407 1678348 1798230 2097935 2157876 2312010 2517522 2697345 3236814 3596460 3776283 4195870 4624020 5035044 5394690 6293805 6473628 7552566 8092035 8391740 10789380 11328849 12587610 15105132 16184070 18881415 22657698 25175220 32368140 37762830 45315396 56644245 75525660 113288490 226576980