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2249909880 = 2335172115227
BaseRepresentation
bin1000011000011010…
…1110011001111000
312210210121021010120
42012012232121320
514101434104010
61011131213240
7106516630011
oct20606563170
95723537116
102249909880
11a55019659
125295a7220
1329b187a2a
14174b50008
15d27c9e70
hex861ae678

2249909880 has 128 divisors (see below), whose sum is σ = 7182017280. Its totient is φ = 561899520.

The previous prime is 2249909869. The next prime is 2249909917. The reversal of 2249909880 is 889099422.

It is a super-2 number, since 2×22499098802 = 10124188936243228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427827 + ... + 433053.

It is an arithmetic number, because the mean of its divisors is an integer number (56109510).

Almost surely, 22249909880 is an apocalyptic number.

2249909880 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 2249909880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591008640).

2249909880 is an abundant number, since it is smaller than the sum of its proper divisors (4932107400).

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

2249909880 is a wasteful number, since it uses less digits than its factorization.

2249909880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 2249909880 is about 47433.2149448042. The cubic root of 2249909880 is about 1310.3532019661.

The spelling of 2249909880 in words is "two billion, two hundred forty-nine million, nine hundred nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 211 255 340 408 422 510 633 680 844 1020 1055 1266 1688 2040 2110 2532 3165 3587 4220 5064 5227 6330 7174 8440 10454 10761 12660 14348 15681 17935 20908 21522 25320 26135 28696 31362 35870 41816 43044 52270 53805 62724 71740 78405 86088 88859 104540 107610 125448 143480 156810 177718 209080 215220 266577 313620 355436 430440 444295 533154 627240 710872 888590 1066308 1102897 1332885 1777180 2132616 2205794 2665770 3308691 3554360 4411588 5331540 5514485 6617382 8823176 10663080 11028970 13234764 16543455 18749249 22057940 26469528 33086910 37498498 44115880 56247747 66173820 74996996 93746245 112495494 132347640 149993992 187492490 224990988 281238735 374984980 449981976 562477470 749969960 1124954940 2249909880