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2249776980 = 22325119771163
BaseRepresentation
bin1000011000011000…
…1101111101010100
312210210100111211100
42012012031331110
514101420330410
61011124310100
7106515534363
oct20606157524
95723314740
102249776980
11a54a38820
12529542330
1329b13c3a9
14174b177da
15d27a08c0
hex8618df54

2249776980 has 144 divisors (see below), whose sum is σ = 7458744384. Its totient is φ = 544373760.

The previous prime is 2249776979. The next prime is 2249777011. The reversal of 2249776980 is 896779422.

2249776980 is a `hidden beast` number, since 2 + 2 + 497 + 76 + 9 + 80 = 666.

It is a super-2 number, since 2×22497769802 = 10122992919475840800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933879 + ... + 1935041.

It is an arithmetic number, because the mean of its divisors is an integer number (51796836).

Almost surely, 22249776980 is an apocalyptic number.

2249776980 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 2249776980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729372192).

2249776980 is an abundant number, since it is smaller than the sum of its proper divisors (5208967404).

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

2249776980 is a wasteful number, since it uses less digits than its factorization.

2249776980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2249776980 is about 47431.8140070565. The cubic root of 2249776980 is about 1310.3274010261.

The spelling of 2249776980 in words is "two billion, two hundred forty-nine million, seven hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 977 990 1163 1954 1980 2326 2931 3489 3908 4652 4885 5815 5862 6978 8793 9770 10467 10747 11630 11724 12793 13956 14655 17445 17586 19540 20934 21494 23260 25586 29310 32241 34890 35172 38379 41868 42988 43965 51172 52335 53735 58620 63965 64482 69780 76758 87930 96723 104670 107470 115137 127930 128964 153516 161205 175860 191895 193446 209340 214940 230274 255860 322410 383790 386892 460548 483615 575685 644820 767580 967230 1136251 1151370 1934460 2272502 2302740 3408753 4545004 5681255 6817506 10226259 11362510 12498761 13635012 17043765 20452518 22725020 24997522 34087530 37496283 40905036 49995044 51131295 62493805 68175060 74992566 102262590 112488849 124987610 149985132 187481415 204525180 224977698 249975220 374962830 449955396 562444245 749925660 1124888490 2249776980