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268825111230 = 235134153317209
BaseRepresentation
bin1111101001011100111…
…0011010101010111110
3221200212212212120222010
43322113032122222332
513401023212024410
6323255131032050
725264510512654
oct3722716325276
9850785776863
10268825111230
11a400a848a15
1244124b9b626
131c472225070
14d022a62dd4
156ed5859c20
hex3e9739aabe

268825111230 has 128 divisors (see below), whose sum is σ = 725187738240. Its totient is φ = 63340093440.

The previous prime is 268825111201. The next prime is 268825111249. The reversal of 268825111230 is 32111528862.

It is a super-2 number, since 2×2688251112302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688866 + ... + 1006074.

It is an arithmetic number, because the mean of its divisors is an integer number (5665529205).

Almost surely, 2268825111230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268825111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362593869120).

268825111230 is an abundant number, since it is smaller than the sum of its proper divisors (456362627010).

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

268825111230 is a wasteful number, since it uses less digits than its factorization.

268825111230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317326.

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 268825111230 in words is "two hundred sixty-eight billion, eight hundred twenty-five million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 53 65 78 82 106 123 130 159 195 205 246 265 318 390 410 530 533 615 689 795 1066 1230 1378 1590 1599 2067 2173 2665 3198 3445 4134 4346 5330 6519 6890 7995 10335 10865 13038 15990 20670 21730 28249 32595 56498 65190 84747 141245 169494 282490 317209 423735 634418 847470 951627 1586045 1903254 3172090 4123717 4758135 8247434 9516270 12371151 13005569 16812077 20618585 24742302 26011138 33624154 39016707 41237170 50436231 61855755 65027845 78033414 84060385 100872462 123711510 130055690 168120770 169072397 195083535 218557001 252181155 338144794 390167070 437114002 504362310 507217191 655671003 689295157 845361985 1014434382 1092785005 1311342006 1378590314 1690723970 2067885471 2185570010 2536085955 3278355015 3446475785 4135770942 5072171910 6556710030 6892951570 8960837041 10339427355 17921674082 20678854710 26882511123 44804185205 53765022246 89608370410 134412555615 268825111230