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226452704720 = 245118330710099
BaseRepresentation
bin1101001011100110100…
…0100000110111010000
3210122111212201022112212
43102321220200313100
512202233343022340
6252010403211252
722234465142054
oct3227150406720
9718455638485
10226452704720
1188046714840
1237a7a676b28
131847b7c8688
14ad63379c64
155d5594ca65
hex34b9a20dd0

226452704720 has 160 divisors (see below), whose sum is σ = 583237670400. Its totient is φ = 81081285120.

The previous prime is 226452704713. The next prime is 226452704767. The reversal of 226452704720 is 27407254622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22418231 + ... + 22428329.

It is an arithmetic number, because the mean of its divisors is an integer number (3645235440).

Almost surely, 2226452704720 is an apocalyptic number.

226452704720 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 226452704720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291618835200).

226452704720 is an abundant number, since it is smaller than the sum of its proper divisors (356784965680).

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

226452704720 is a wasteful number, since it uses less digits than its factorization.

226452704720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 226452704720 in words is "two hundred twenty-six billion, four hundred fifty-two million, seven hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 307 332 415 440 614 664 830 880 913 1228 1328 1535 1660 1826 2456 3070 3320 3377 3652 4565 4912 6140 6640 6754 7304 9130 10099 12280 13508 14608 16885 18260 20198 24560 25481 27016 33770 36520 40396 50495 50962 54032 67540 73040 80792 100990 101924 111089 127405 135080 161584 201980 203848 222178 254810 270160 280291 403960 407696 444356 509620 555445 560582 807920 838217 888712 1019240 1110890 1121164 1401455 1676434 1777424 2038480 2221780 2242328 2802910 3100393 3352868 4191085 4443560 4484656 5605820 6200786 6705736 8382170 8887120 9220387 11211640 12401572 13411472 15501965 16764340 18440774 22423280 24803144 31003930 33528680 34104323 36881548 46101935 49606288 62007860 67057360 68208646 73763096 92203870 124015720 136417292 147526192 170521615 184407740 248031440 257332619 272834584 341043230 368815480 514665238 545669168 682086460 737630960 1029330476 1286663095 1364172920 2058660952 2573326190 2728345840 2830658809 4117321904 5146652380 5661317618 10293304760 11322635236 14153294045 20586609520 22645270472 28306588090 45290540944 56613176180 113226352360 226452704720