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226715026720 = 25572132224441
BaseRepresentation
bin1101001100100101000…
…1001100010100100000
3210200012011022122200111
43103021101030110200
512203303021323340
6252052413501104
722244131634200
oct3231121142440
9720164278614
10226715026720
11881707a4186
1237b324a1794
13184c0c637b0
14ad8a142400
155d6d9b7aea
hex34c944c520

226715026720 has 144 divisors (see below), whose sum is σ = 670989582648. Its totient is φ = 71751536640.

The previous prime is 226715026711. The next prime is 226715026721. The reversal of 226715026720 is 27620517622.

226715026720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 148894113424 + 77820913296 = 385868^2 + 278964^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (226715026721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010301 + ... + 1214140.

Almost surely, 2226715026720 is an apocalyptic number.

226715026720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226715026720 is an abundant number, since it is smaller than the sum of its proper divisors (444274555928).

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

226715026720 is a wasteful number, since it uses less digits than its factorization.

226715026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224483 (or 2224468 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 226715026720 in words is "two hundred twenty-six billion, seven hundred fifteen million, twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1456 1568 1820 1960 2080 2548 2912 3185 3640 3920 5096 6370 7280 7840 10192 12740 14560 20384 25480 50960 101920 2224441 4448882 8897764 11122205 15571087 17795528 22244410 28917733 31142174 35591056 44488820 57835466 62284348 71182112 77855435 88977640 108997609 115670932 124568696 144588665 155710870 177955280 202424131 217995218 231341864 249137392 289177330 311421740 355910560 404848262 435990436 462683728 498274784 544988045 578354660 622843480 809696524 871980872 925367456 1012120655 1089976090 1156709320 1245686960 1416968917 1619393048 1743961744 2024241310 2179952180 2313418640 2491373920 2833937834 3238786096 3487923488 4048482620 4359904360 4626837280 5667875668 6477572192 7084844585 8096965240 8719808720 11335751336 14169689170 16193930480 17439617440 22671502672 28339378340 32387860960 45343005344 56678756680 113357513360 226715026720