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226295720 = 23572263439
BaseRepresentation
bin11010111110011…
…11111110101000
3120202211000100222
431133033332220
5430412430340
634242145212
75415324200
oct1537177650
9522730328
10226295720
11106813362
1263952208
1337b631c1
14220a9400
1514d008b5
hexd7cffa8

226295720 has 96 divisors (see below), whose sum is σ = 595900800. Its totient is φ = 77116032.

The previous prime is 226295683. The next prime is 226295723. The reversal of 226295720 is 27592622.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (226295723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515261 + ... + 515699.

It is an arithmetic number, because the mean of its divisors is an integer number (6207300).

Almost surely, 2226295720 is an apocalyptic number.

226295720 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 226295720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297950400).

226295720 is an abundant number, since it is smaller than the sum of its proper divisors (369605080).

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

226295720 is a wasteful number, since it uses less digits than its factorization.

226295720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 226295720 is about 15043.1286639449. The cubic root of 226295720 is about 609.3854960103.

The spelling of 226295720 in words is "two hundred twenty-six million, two hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 263 280 392 439 490 526 878 980 1052 1315 1756 1841 1960 2104 2195 2630 3073 3512 3682 4390 5260 6146 7364 8780 9205 10520 12292 12887 14728 15365 17560 18410 21511 24584 25774 30730 36820 43022 51548 61460 64435 73640 86044 103096 107555 115457 122920 128870 172088 215110 230914 257740 430220 461828 515480 577285 808199 860440 923656 1154570 1616398 2309140 3232796 4040995 4618280 5657393 6465592 8081990 11314786 16163980 22629572 28286965 32327960 45259144 56573930 113147860 226295720