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2273747040 = 2532512712433
BaseRepresentation
bin1000011110000110…
…1010000001100000
312212110110022120100
42013201222001200
514124034401130
61013342142400
7110226350055
oct20741520140
95773408510
102273747040
11a6751a894
12535581a00
132a30b2866
14177d9702c
15d4937c60
hex8786a060

2273747040 has 144 divisors (see below), whose sum is σ = 7820886528. Its totient is φ = 601509888.

The previous prime is 2273747033. The next prime is 2273747053. The reversal of 2273747040 is 407473722.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2273746986 and 2273747004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176664 + ... + 189096.

It is an arithmetic number, because the mean of its divisors is an integer number (54311712).

Almost surely, 22273747040 is an apocalyptic number.

2273747040 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 2273747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910443264).

2273747040 is an abundant number, since it is smaller than the sum of its proper divisors (5547139488).

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

2273747040 is a wasteful number, since it uses less digits than its factorization.

2273747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12581 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 2273747040 is about 47683.8236721847. The cubic root of 2273747040 is about 1314.9645621682.

The spelling of 2273747040 in words is "two billion, two hundred seventy-three million, seven hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 127 144 160 180 240 254 288 360 381 480 508 635 720 762 1016 1143 1270 1440 1524 1905 2032 2286 2540 3048 3810 4064 4572 5080 5715 6096 7620 9144 10160 11430 12192 12433 15240 18288 20320 22860 24866 30480 36576 37299 45720 49732 60960 62165 74598 91440 99464 111897 124330 149196 182880 186495 198928 223794 248660 298392 372990 397856 447588 497320 559485 596784 745980 895176 994640 1118970 1193568 1491960 1578991 1790352 1989280 2237940 2983920 3157982 3580704 4475880 4736973 5967840 6315964 7894955 8951760 9473946 12631928 14210919 15789910 17903520 18947892 23684865 25263856 28421838 31579820 37895784 47369730 50527712 56843676 63159640 71054595 75791568 94739460 113687352 126319280 142109190 151583136 189478920 227374704 252638560 284218380 378957840 454749408 568436760 757915680 1136873520 2273747040