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226411020 = 2232511412789
BaseRepresentation
bin11010111111011…
…00001000001100
3120210000212112100
431133230020030
5430430123040
634244435100
75416314303
oct1537541014
9523025470
10226411020
11106891a50
12639a8a90
1337ba3824
14220d943a
1514d24b30
hexd7ec20c

226411020 has 144 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 53529600.

The previous prime is 226411019. The next prime is 226411021. The reversal of 226411020 is 20114622.

226411020 is a `hidden beast` number, since 2 + 2 + 641 + 1 + 0 + 20 = 666.

226411020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226411019) and next prime (226411021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 226410984 and 226411002.

It is not an unprimeable number, because it can be changed into a prime (226411021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79786 + ... + 82574.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2226411020 is an apocalyptic number.

226411020 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 226411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

226411020 is an abundant number, since it is smaller than the sum of its proper divisors (541352340).

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

226411020 is a wasteful number, since it uses less digits than its factorization.

226411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 226411020 is about 15046.9604904113. The cubic root of 226411020 is about 609.4889745000.

Adding to 226411020 its reverse (20114622), we get a palindrome (246525642).

The spelling of 226411020 in words is "two hundred twenty-six million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 2789 3690 4059 4510 5412 5578 6765 7380 8118 8367 9020 11156 13530 13945 16236 16734 20295 25101 27060 27890 30679 33468 40590 41835 50202 55780 61358 81180 83670 92037 100404 114349 122716 125505 153395 167340 184074 228698 251010 276111 306790 343047 368148 457396 460185 502020 552222 571745 613580 686094 920370 1029141 1104444 1143490 1257839 1372188 1380555 1715235 1840740 2058282 2286980 2515678 2761110 3430470 3773517 4116564 5031356 5145705 5522220 6289195 6860940 7547034 10291410 11320551 12578390 15094068 18867585 20582820 22641102 25156780 37735170 45282204 56602755 75470340 113205510 226411020