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226654560336 = 243371033973121
BaseRepresentation
bin1101001100010110101…
…0100010000001010000
3210200000221112122101210
43103011222202001100
512203142031412321
6252042413500120
722242465655311
oct3230552420120
9720027478353
10226654560336
118813a654966
1237b161a1640
13184b1582479
14ad820c2608
155d68521b76
hex34c5aa2050

226654560336 has 160 divisors (see below), whose sum is σ = 608912082688. Its totient is φ = 72589271040.

The previous prime is 226654560331. The next prime is 226654560371. The reversal of 226654560336 is 633065456622.

It is a happy number.

226654560336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2266545603362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226654560331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72620856 + ... + 72623976.

Almost surely, 2226654560336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226654560336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304456041344).

226654560336 is an abundant number, since it is smaller than the sum of its proper divisors (382257522352).

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

226654560336 is a wasteful number, since it uses less digits than its factorization.

226654560336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 226654560336 in words is "two hundred twenty-six billion, six hundred fifty-four million, five hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 103 111 148 206 222 296 309 397 412 444 592 618 794 824 888 1191 1236 1588 1648 1776 2382 2472 3121 3176 3811 4764 4944 6242 6352 7622 9363 9528 11433 12484 14689 15244 18726 19056 22866 24968 29378 30488 37452 40891 44067 45732 49936 58756 60976 74904 81782 88134 91464 115477 117512 122673 149808 163564 176268 182928 230954 235024 245346 321463 327128 346431 352536 461908 490692 642926 654256 692862 705072 923816 964389 981384 1239037 1285852 1385724 1512967 1847632 1928778 1962768 2478074 2571704 2771448 3025934 3717111 3857556 4538901 4956148 5143408 5542896 6051868 7434222 7715112 9077802 9912296 11894131 12103736 14868444 15430224 18155604 19824592 23788262 24207472 29736888 35682393 36311208 45844369 47576524 59473776 71364786 72622416 91688738 95153048 127620811 137533107 142729572 183377476 190306096 255241622 275066214 285459144 366754952 382862433 510483244 550132428 570918288 733509904 765724866 1020966488 1100264856 1531449732 2041932976 2200529712 3062899464 4721970007 6125798928 9443940014 14165910021 18887880028 28331820042 37775760056 56663640084 75551520112 113327280168 226654560336